252132100 has 144 divisors (see below), whose sum is σ = 643083840. Its totient is φ = 84787200.

The previous prime is 252132059. The next prime is 252132113. The reversal of 252132100 is 1231252.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1813831 + ... + 1813969.

It is an arithmetic number, because the mean of its divisors is an integer number (4465860).

Almost surely, 2^252132100 is an apocalyptic number.

252132100 is a gapful number since it is divisible by the number (20) 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 252132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321541920).

252132100 is an abundant number, since it is smaller than the sum of its proper divisors (390951740).

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

252132100 is a wasteful number, since it uses less digits than its factorization.

252132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 252132100 is about 15878.6680801634. The cubic root of 252132100 is about 631.7463096793.

Adding to 252132100 its reverse (1231252), we get a palindrome (253363352).

The spelling of 252132100 in words is "two hundred fifty-two million, one hundred thirty-two thousand, one hundred".