90100577632 has 24 divisors (see below), whose sum is σ = 191030552496. Its totient is φ = 41584881792.

The previous prime is 90100577621. The next prime is 90100577641. The reversal of 90100577632 is 23677500109.

It is a super-2 number, since 2×90100577632² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 108293548 + ... + 108294379.

It is an arithmetic number, because the mean of its divisors is an integer number (7959606354).

Almost surely, 2^90100577632 is an apocalyptic number.

It is an amenable number.

90100577632 is an abundant number, since it is smaller than the sum of its proper divisors (100929974864).

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

90100577632 is a wasteful number, since it uses less digits than its factorization.

90100577632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216587950 (or 216587942 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 40.

The spelling of 90100577632 in words is "ninety billion, one hundred million, five hundred seventy-seven thousand, six hundred thirty-two".