The sum of the squares of the first ten natural numbers is,

1^{2} + 2^{2} + … + 10^{2} = 385

The square of the sum of the first ten natural numbers is,

(1 + 2 + … + 10)^{2} = 55^{2} = 3025

Hence the difference between the sum of the squares of the first ten natural numbers and the square of the sum is 3025 − 385 = 2640.

Find the difference between the sum of the squares of the first one hundred natural numbers and the square of the sum.