108252 has 36 divisors (see below), whose sum is σ = 285376. Its totient is φ = 34560.

The previous prime is 108247. The next prime is 108263. The reversal of 108252 is 252801.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1068 + ... + 1164.

2¹⁰⁸²⁵² is an apocalyptic number.

108252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142688).

108252 is an abundant number, since it is smaller than the sum of its proper divisors (177124).

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

108252 is a wasteful number, since it uses less digits than its factorization.

108252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 133 counting only the distinct ones).

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

The square root of 108252 is about 329.0167169005. The cubic root of 108252 is about 47.6590421458.

The spelling of 108252 in words is "one hundred eight thousand, two hundred fifty-two".