Sum square difference

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.