Problem

2024 Fermat Problem 24

The integer $N$ is the smallest positive integer that is a multiple of $2024$ , has more than $100$ positive divisors (including $1$ and $N$ ), and has fewer than $110$ positive divisors (including $1$ and $N$ ). What is the sum of the digits of $N$ ?

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Difficulty —

Category: Fermat
Points: 3
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