Sum square difference

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

$$ 1^2 + 2^2 + \dots + 10^2 = 385 $$

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

$$ (1+2+\dots+10)^2 = 55^2 = 3025 $$

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.