252100200 has 96 divisors (see below), whose sum is σ = 852579360. Its totient is φ = 61113600.

The previous prime is 252100117. The next prime is 252100213. The reversal of 252100200 is 2001252.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12499 + ... + 25698.

It is an arithmetic number, because the mean of its divisors is an integer number (8881035).

Almost surely, 2^252100200 is an apocalyptic number.

252100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252100200 is an abundant number, since it is smaller than the sum of its proper divisors (600479160).

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

252100200 is a wasteful number, since it uses less digits than its factorization.

252100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38227 (or 38218 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 252100200 is about 15877.6635560778. The cubic root of 252100200 is about 631.7196655019.

Adding to 252100200 its reverse (2001252), we get a palindrome (254101452).

It can be divided in two parts, 25 and 2100200, that added together give a triangular number (2100225 = T₂₀₄₉).

The spelling of 252100200 in words is "two hundred fifty-two million, one hundred thousand, two hundred".