252100 has 18 divisors (see below), whose sum is σ = 547274. Its totient is φ = 100800.

The previous prime is 252079. The next prime is 252101. The reversal of 252100 is 1252.

252100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 4096 + 248004 = 64^2 + 498^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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 5 ways as a sum of consecutive naturals, for example, 1161 + ... + 1360.

2²⁵²¹⁰⁰ is an apocalyptic number.

252100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252100 is an abundant number, since it is smaller than the sum of its proper divisors (295174).

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

252100 is a wasteful number, since it uses less digits than its factorization.

252100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2535 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 252100 is about 502.0956084253. The cubic root of 252100 is about 63.1719498447.

Adding to 252100 its reverse (1252), we get a palindrome (253352).

The spelling of 252100 in words is "two hundred fifty-two thousand, one hundred".