Factorial Checks

#include <stdio.h>
#include <stdlib.h>

int factorialCheck(int);

int main(void)
{
    int num = 0;
    int index;

    for (index = 1; index <= 99999; index++)
    {
        num = index;

        if (fact(num) == num)
        {
            printf("%d\n", num);
        }
    }

    return 0;
}

int fact(int number)
{
    char string[6];
    char numsPlace[5];
    char charNum;
    int count;
    int factSum = 0;
    int flag = 0;

    string[5] = '\0';

    for(count = 4; count >= 0; count--)
    {
        numsPlace[count] = number % 10;
        number = number / 10;
        string[count] = numsPlace[count] + 48;
    }

    for (count = 0; count < 5; count++)
    {
        if (string[count] != '0')
        {
            flag = 1;
        }

        if (flag == 1)
        {
            charNum = string[count];
            switch (charNum)
            {
                case '0':
                case '1':
                    factSum = factSum + 1;
                    break;
                case '2':
                    factSum = factSum + (1 * 2);
                    break;
                case '3':
                    factSum = factSum + (1 * 2 * 3);
                    break;
                case '4':
                    factSum = factSum + (1 * 2 * 3 * 4);
                    break;
                case '5':
                    factSum = factSum +
                        (1 * 2 * 3 * 4 * 5);
                    break;
                case '6':
                    factSum = factSum +
                        (1 * 2 * 3 * 4 * 5 * 6);
                    break;
                case '7':
                    factSum = factSum +
                        (1 * 2 * 3 * 4 * 5 * 6 * 7);
                    break;
                case '8':
                    factSum = factSum +
                        (1 * 2 * 3 * 4 * 5 * 6 * 7 * 8);
                    break;
                case '9':
                    factSum = factSum +
                        (1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 * 9);
                    break;
                default:
                    break;
            }
        }
    }

    return factSum;
}