90167100156 has 240 divisors, whose sum is σ = 286540886016. Its totient is φ = 24135584256.

The previous prime is 90167100119. The next prime is 90167100167. The reversal of 90167100156 is 65100176109.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 90167100156.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8592745 + ... + 8603231.

Almost surely, 2^90167100156 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 90167100156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143270443008).

90167100156 is an abundant number, since it is smaller than the sum of its proper divisors (196373785860).

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

90167100156 is a wasteful number, since it uses less digits than its factorization.

90167100156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10750 (or 10739 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 90167100156 in words is "ninety billion, one hundred sixty-seven million, one hundred thousand, one hundred fifty-six".