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 = 552 = 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.