252800106 has 32 divisors (see below), whose sum is σ = 546654528. Its totient is φ = 77475840.

The previous prime is 252800077. The next prime is 252800113. The reversal of 252800106 is 601008252.

252800106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×252800106² = 127815787187222472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13741 + ... + 26351.

It is an arithmetic number, because the mean of its divisors is an integer number (17082954).

Almost surely, 2^252800106 is an apocalyptic number.

252800106 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

252800106 is an abundant number, since it is smaller than the sum of its proper divisors (293854422).

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

252800106 is a wasteful number, since it uses less digits than its factorization.

252800106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12886.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 252800106 is about 15899.6888648803. The cubic root of 252800106 is about 632.3037399279.

Adding to 252800106 its reverse (601008252), we get a palindrome (853808358).

The spelling of 252800106 in words is "two hundred fifty-two million, eight hundred thousand, one hundred six".