ProjectEuler-020.py

'''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!'''


product = 1
sum_of_product = 0

for i in range(2, 101):
    product *= i

string = str(product)
for letter in string:
    sum_of_product += (int(letter))

print(sum_of_product)