100152252 has 36 divisors (see below), whose sum is σ = 255495240. Its totient is φ = 33076512.

The previous prime is 100152223. The next prime is 100152257. The reversal of 100152252 is 252251001.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100152257) 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, 8838 + ... + 16685.

It is an arithmetic number, because the mean of its divisors is an integer number (7097090).

Almost surely, 2^100152252 is an apocalyptic number.

100152252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100152252 is an abundant number, since it is smaller than the sum of its proper divisors (155342988).

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

100152252 is a wasteful number, since it uses less digits than its factorization.

100152252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25642 (or 25637 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 100152252 is about 10007.6097046198. The cubic root of 100152252 is about 464.3943276398.

The spelling of 100152252 in words is "one hundred million, one hundred fifty-two thousand, two hundred fifty-two".