108925 has 6 divisors (see below), whose sum is σ = 135098. Its totient is φ = 87120.

The previous prime is 108923. The next prime is 108929. The reversal of 108925 is 529801.

It can be written as a sum of positive squares in 3 ways, for example, as 37636 + 71289 = 194^2 + 267^2 .

It is not a de Polignac number, because 108925 - 2¹ = 108923 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25), and also a Moran number because the ratio is a prime number: 4357 = 108925 / (1 + 0 + 8 + 9 + 2 + 5).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 108925.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2154 + ... + 2203.

2¹⁰⁸⁹²⁵ is an apocalyptic number.

It is an amenable number.

108925 is a deficient number, since it is larger than the sum of its proper divisors (26173).

108925 is an equidigital number, since it uses as much as digits as its factorization.

108925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4367 (or 4362 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 108925 is about 330.0378766142. The cubic root of 108925 is about 47.7576032044.

Subtracting from 108925 its sum of digits (25), we obtain a square (108900 = 330²).

It can be divided in two parts, 1089 and 25, that multiplied together give a square (27225 = 165²).

The spelling of 108925 in words is "one hundred eight thousand, nine hundred twenty-five".