Factorial digit sum

\( n! \) means \( n × (n −1) ×...×3×2×1 \)

For example, \( 10!=10×9×...×3×2×1=3628800 \), and the sum of the digits in the number \( 10! \) is \( 3+6+2+8+8+0+0=27 \).

Find the sum of the digits in the number \( 100! \)