Question 107
Let $n$ be a natural number such that there are exactly 2017 different pairs of natural numbers $(a, b)$ satisfying the equation
$$
\frac{1}{a}+\frac{1}{b}=\frac{1}{n}
$$
Show that $n$ is a perfect square.
$$
\frac{1}{a}+\frac{1}{b}=\frac{1}{n}
$$
Show that $n$ is a perfect square.