252105 has 24 divisors (see below), whose sum is σ = 470592. Its totient is φ = 115248.

The previous prime is 252101. The next prime is 252139. The reversal of 252105 is 501252.

It is not a de Polignac number, because 252105 - 2² = 252101 is a prime.

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 7 and base 8.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36012 + ... + 36018.

It is an arithmetic number, because the mean of its divisors is an integer number (19608).

2²⁵²¹⁰⁵ is an apocalyptic number.

It is an amenable number.

252105 is a deficient number, since it is larger than the sum of its proper divisors (218487).

252105 is an frugal number, since it uses more digits than its factorization.

252105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 15 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 252105 is about 502.1005875320. The cubic root of 252105 is about 63.1723674801.

252105 divided by its sum of digits (15) gives a 5-th power (16807 = 7⁵).

Adding to 252105 its reverse (501252), we get a palindrome (753357).

It can be divided in two parts, 25 and 2105, that multiplied together give a palindrome (52625).

The spelling of 252105 in words is "two hundred fifty-two thousand, one hundred five".