90106057516288 has 72 divisors (see below), whose sum is σ = 197643258267840. Its totient is φ = 40658340311040.

The previous prime is 90106057516259. The next prime is 90106057516297. The reversal of 90106057516288 is 88261575060109.

It is a happy number.

It is a super-2 number, since 2×90106057516288² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116394828 + ... + 117166411.

It is an arithmetic number, because the mean of its divisors is an integer number (2745045253720).

Almost surely, 2^{90106057516288} is an apocalyptic number.

It is an amenable number.

90106057516288 is an abundant number, since it is smaller than the sum of its proper divisors (107537200751552).

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

90106057516288 is a wasteful number, since it uses less digits than its factorization.

90106057516288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233561403 (or 233561389 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 58.

The spelling of 90106057516288 in words is "ninety trillion, one hundred six billion, fifty-seven million, five hundred sixteen thousand, two hundred eighty-eight".