Euler would love programming

In number theory, Euler's totient or phi function, $$φ(n)$$, is an arithmetic function that counts the totatives of $$n$$, that is, the positive integers less than or equal to $$n$$ that are relatively prime to $$n$$.

What is the minimum value of phi function for $$99<n<111$$?

Note: $$n$$ is a natural number.

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