100902168 has 48 divisors (see below), whose sum is σ = 274266720. Its totient is φ = 33512256.

The previous prime is 100902167. The next prime is 100902203. The reversal of 100902168 is 861209001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100902163) 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, 18705 + ... + 23487.

It is an arithmetic number, because the mean of its divisors is an integer number (5713890).

Almost surely, 2^100902168 is an apocalyptic number.

100902168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100902168 is an abundant number, since it is smaller than the sum of its proper divisors (173364552).

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

100902168 is a wasteful number, since it uses less digits than its factorization.

100902168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5088 (or 5081 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 100902168 is about 10045.0071179666. The cubic root of 100902168 is about 465.5505376655.

The spelling of 100902168 in words is "one hundred million, nine hundred two thousand, one hundred sixty-eight".