252205100 has 36 divisors (see below), whose sum is σ = 625470384. Its totient is φ = 86470080.

The previous prime is 252205091. The next prime is 252205103. The reversal of 252205100 is 1502252.

252205100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (252205103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179447 + ... + 180846.

Almost surely, 2^252205100 is an apocalyptic number.

252205100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252205100 is an abundant number, since it is smaller than the sum of its proper divisors (373265284).

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

252205100 is a wasteful number, since it uses less digits than its factorization.

252205100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360314 (or 360307 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 252205100 is about 15880.9665952674. The cubic root of 252205100 is about 631.8072737937.

Adding to 252205100 its reverse (1502252), we get a palindrome (253707352).

The spelling of 252205100 in words is "two hundred fifty-two million, two hundred five thousand, one hundred".