252400100 has 36 divisors (see below), whose sum is σ = 561076068. Its totient is φ = 98496000.

The previous prime is 252400081. The next prime is 252400103. The reversal of 252400100 is 1004252.

252400100 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 6 ways, for example, as 11343424 + 241056676 = 3368^2 + 15526^2 .

It is not an unprimeable number, because it can be changed into a prime (252400103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26681 + ... + 34880.

Almost surely, 2^252400100 is an apocalyptic number.

252400100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252400100 is an abundant number, since it is smaller than the sum of its proper divisors (308675968).

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

252400100 is a wasteful number, since it uses less digits than its factorization.

252400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61616 (or 61609 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 252400100 is about 15887.1048337952. The cubic root of 252400100 is about 631.9700654785.

Adding to 252400100 its reverse (1004252), we get a palindrome (253404352).

The spelling of 252400100 in words is "two hundred fifty-two million, four hundred thousand, one hundred".