I've added a library for isdigit function and changed the way that you're reading the file. You can find my code explanations where the comment starts with <<------
#include<stdio.h>
#include<iostream>
#include<string>
#include<sstream>
#include<stdlib.h> // atoi -> Convert string to int number
#include<fstream> // need for read file
#include<cctype> // <<------ Included this for isdigit
using namespace std;
int main() {
    string tenfile;
    cout << "Ten file: ";
    cin >> tenfile;
    cout << tenfile << endl; // <<------ Removed .c_str() you don't need it
    int i, j;
    int value;
    ifstream myfile(tenfile); // <<------ Removed .c_str() you don't need it
    char c;
    while (myfile.get(c)) // <<------ Reading file char by char
    {
        //getline(myfile, data, ','); // use ' ' not " "
        if (isdigit(c)) // <<------ If char is a digit
            cout << "data: " << c << endl; // <<------ Print that char
    }
    myfile.close();
    return 0;
}
This was the result of the code above:
data: 1
data: 3
data: 5
data: 7
data: 9
data: 8
data: 1
data: 2
data: 3
data: 0
data: 2
data: 4
data: 6
data: 8
data: 8
data: 1
data: 2
data: 3
data: 1
data: 3
data: 5
data: 7
data: 9
data: 8
data: 1
data: 2
data: 3
data: 0
data: 2
data: 4
data: 6
data: 8
data: 8
data: 1
data: 2
data: 3
If you don't want to add a new library just for isdigit function, you can write it yourself. Basically this:
int check_digit (char c) {
    if ((c>='0') && (c<='9'))
        return 1;
    return 0;
}
Afterwards you can do check_digit(c) instead of isdigit(c) and you can remove #include<cctype>.
Version which can read any number of size:
#include<iostream>
#include<string>
#include<fstream> // need for read file
#include <locale>
using namespace std;
int count_words(const char*);
int main() {
    string tenfile;
    cout << "Ten file: ";
    cin >> tenfile;
    cout << tenfile << endl; // <<------ Removed .c_str() you don't need it
    ifstream myfile(tenfile); // <<------ Removed .c_str() you don't need it
    unsigned int i;
    string full_text;
    getline(myfile, full_text, static_cast<char>(myfile.eof()));
    for (i = 0; i < full_text.size(); i++)
    {
        if (full_text[i] == '\n')
            full_text[i] = ' ';
        if (full_text[i] == ',')
            full_text[i] = ' ';
    }
    const unsigned int word_count = count_words(full_text.c_str());
    unsigned int k = 0;
    string display_text;
    for (i = 0; i < word_count; i++)
    {
        while (full_text[k] != ' ')
        {
            display_text += full_text[k];
            k++;
            if(k > full_text.size())
            {
                k = full_text.size();
                break;
            }
        }
        if (full_text[k] == ' ')
            k++;
        cout << "data: " << display_text << "\n";
        display_text.clear();
    }
    myfile.close();
    return 0;
}
int count_words(const char* str)
{
   bool in_spaces = true;
   int num_words = 0;
   while (*str != NULL)
   {
      if (*str == ' ')
      {
         in_spaces = true;
      }
      else if (in_spaces)
      {
         num_words++;
         in_spaces = false;
      }
      ++str;
   }
   return num_words;
}
Input file:
10,3,5,7,9,8,1,2,3
0,2,4,6,198,8,1,2,3
1,3,5,7,9,8,1,2,3
0,2,4,6,8,8,1,2,3000
Output:
Ten file: binStr.txt
binStr.txt
data: 10
data: 3
data: 5
data: 7
data: 9
data: 8
data: 1
data: 2
data: 3
data: 0
data: 2
data: 4
data: 6
data: 198
data: 8
data: 1
data: 2
data: 3
data: 1
data: 3
data: 5
data: 7
data: 9
data: 8
data: 1
data: 2
data: 3
data: 0
data: 2
data: 4
data: 6
data: 8
data: 8
data: 1
data: 2
data: 3000