# Sneaky Sum of Squares

Given that $1^2 + 2^2 + 3^2 + \ldots + k^2 = \frac{k(k+1)(2k+1)}{6}$, what is the smallest integer $k$ such that $1^2 + 2^2 + 3^2 + \ldots + k^2$ is divisible by $100$?

×