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Omni-MATH / For how many positive integers n≤100 is it true that 10n has exactly three times as many positive divisors as n has?

Problem

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problem

For how many positive integers n≤100n \leq 100 is it true that 10n10 n has exactly three times as many positive divisors as nn has?
Plain-text mathematical notation (without MathML)
For how many positive integers n≤100 is it true that 10n has exactly three times as many positive divisors as n has?
Original LaTeX notation
For how many positive integers $n \leq 100$ is it true that $10 n$ has exactly three times as many positive divisors as $n$ has?

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Source and history

task_id
eecb9b54-e9d9-5cc1-9c69-b083159c9a45
task_key
test--eecb9b54-e9d9-5cc1-9c69-b083159c9a45
task_revision_id
1
config / split
/ test

Official source

initial import