107625 has 32 divisors (see below), whose sum is σ = 209664. Its totient is φ = 48000.

The previous prime is 107621. The next prime is 107641. The reversal of 107625 is 526701.

107625 is nontrivially palindromic in base 4.

It is not a de Polignac number, because 107625 - 2² = 107621 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 107625.

It is not an unprimeable number, because it can be changed into a prime (107621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2605 + ... + 2645.

It is an arithmetic number, because the mean of its divisors is an integer number (6552).

2¹⁰⁷⁶²⁵ is an apocalyptic number.

107625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107625 is a deficient number, since it is larger than the sum of its proper divisors (102039).

107625 is an equidigital number, since it uses as much as digits as its factorization.

107625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 107625 is about 328.0624940465. The cubic root of 107625 is about 47.5668495495.

The spelling of 107625 in words is "one hundred seven thousand, six hundred twenty-five".