252101096 has 32 divisors (see below), whose sum is σ = 513085440. Its totient is φ = 115432128.

The previous prime is 252101071. The next prime is 252101099. The reversal of 252101096 is 690101252.

252101096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (252101099) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3665 + ... + 22751.

It is an arithmetic number, because the mean of its divisors is an integer number (16033920).

Almost surely, 2^252101096 is an apocalyptic number.

252101096 is a gapful number since it is divisible by the number (26) 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 252101096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256542720).

252101096 is an abundant number, since it is smaller than the sum of its proper divisors (260984344).

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

252101096 is a wasteful number, since it uses less digits than its factorization.

252101096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19233 (or 19229 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 252101096 is about 15877.6917717910. The cubic root of 252101096 is about 631.7204139082.

The spelling of 252101096 in words is "two hundred fifty-two million, one hundred one thousand, ninety-six".