90919100100 has 72 divisors (see below), whose sum is σ = 264381342400. Its totient is φ = 24123242880.

The previous prime is 90919100071. The next prime is 90919100113. The reversal of 90919100100 is 100191909.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 701767 + ... + 821166.

Almost surely, 2^90919100100 is an apocalyptic number.

It is an amenable number.

90919100100 is an abundant number, since it is smaller than the sum of its proper divisors (173462242300).

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

90919100100 is a wasteful number, since it uses less digits than its factorization.

90919100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523149 (or 1523142 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 30.

The spelling of 90919100100 in words is "ninety billion, nine hundred nineteen million, one hundred thousand, one hundred".