90100356 has 48 divisors (see below), whose sum is σ = 222969600. Its totient is φ = 28238112.

The previous prime is 90100333. The next prime is 90100397. The reversal of 90100356 is 65300109.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30271 + ... + 33113.

It is an arithmetic number, because the mean of its divisors is an integer number (4645200).

Almost surely, 2^90100356 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 90100356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111484800).

90100356 is an abundant number, since it is smaller than the sum of its proper divisors (132869244).

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

90100356 is a wasteful number, since it uses less digits than its factorization.

90100356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008 (or 3006 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 90100356 is about 9492.1207324812. The cubic root of 90100356 is about 448.3069816173.

The spelling of 90100356 in words is "ninety million, one hundred thousand, three hundred fifty-six".