90910009100 has 72 divisors (see below), whose sum is σ = 206098527600. Its totient is φ = 34762336000.

The previous prime is 90910009097. The next prime is 90910009103. The reversal of 90910009100 is 190001909.

It is an interprime number because it is at equal distance from previous prime (90910009097) and next prime (90910009103).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (90910009103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137711 + ... + 448089.

It is an arithmetic number, because the mean of its divisors is an integer number (2862479550).

Almost surely, 2^90910009100 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 90910009100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103049263800).

90910009100 is an abundant number, since it is smaller than the sum of its proper divisors (115188518500).

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

90910009100 is a wasteful number, since it uses less digits than its factorization.

90910009100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310523 (or 310516 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 29.

The spelling of 90910009100 in words is "ninety billion, nine hundred ten million, nine thousand, one hundred".