252410100 has 72 divisors (see below), whose sum is σ = 735682080. Its totient is φ = 66814080.

The previous prime is 252410099. The next prime is 252410149. The reversal of 252410100 is 1014252.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 252410100.

It is a congruent number.

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, 38674 + ... + 44726.

Almost surely, 2^252410100 is an apocalyptic number.

252410100 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 252410100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367841040).

252410100 is an abundant number, since it is smaller than the sum of its proper divisors (483271980).

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

252410100 is a wasteful number, since it uses less digits than its factorization.

252410100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6209 (or 6202 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 252410100 is about 15887.4195513305. The cubic root of 252410100 is about 631.9784115095.

Adding to 252410100 its reverse (1014252), we get a palindrome (253424352).

The spelling of 252410100 in words is "two hundred fifty-two million, four hundred ten thousand, one hundred".