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.