100 Follower Problem NumberTheory

Number Theory Level pending

Let \(\mathbb{Z_{>0}}\) be the set of positive integers. Find all functions \(f: \mathbb{Z_{>0}} \rightarrow \mathbb{Z_{>0}}\) such that

\[\large {m^2+f(n)|mf(m)+n}\]

for all positive integers \(m\) and \(n\)

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