100902172 has 36 divisors (see below), whose sum is σ = 207336360. Its totient is φ = 42837984.

The previous prime is 100902167. The next prime is 100902203. The reversal of 100902172 is 271209001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19003 + ... + 23725.

Almost surely, 2^100902172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100902172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103668180).

100902172 is an abundant number, since it is smaller than the sum of its proper divisors (106434188).

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

100902172 is a wasteful number, since it uses less digits than its factorization.

100902172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4850 (or 4841 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 100902172 is about 10045.0073170705. The cubic root of 100902172 is about 465.5505438174.

The spelling of 100902172 in words is "one hundred million, nine hundred two thousand, one hundred seventy-two".