252108 has 36 divisors (see below), whose sum is σ = 655200. Its totient is φ = 81696.

The previous prime is 252101. The next prime is 252139. The reversal of 252108 is 801252.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 252108.

It is not an unprimeable number, because it can be changed into a prime (252101) by changing a digit.

252108 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1618 + ... + 1766.

It is an arithmetic number, because the mean of its divisors is an integer number (18200).

2²⁵²¹⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327600).

252108 is an abundant number, since it is smaller than the sum of its proper divisors (403092).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252108 is a wasteful number, since it uses less digits than its factorization.

252108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 252108 is about 502.1035749723. The cubic root of 252108 is about 63.1726180587.

The spelling of 252108 in words is "two hundred fifty-two thousand, one hundred eight".