90105876 has 36 divisors (see below), whose sum is σ = 260306592. Its totient is φ = 25744464.

The previous prime is 90105857. The next prime is 90105889. The reversal of 90105876 is 67850109.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 90105876.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 178530 + ... + 179033.

Almost surely, 2^90105876 is an apocalyptic number.

It is an amenable number.

90105876 is an abundant number, since it is smaller than the sum of its proper divisors (170200716).

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

90105876 is a wasteful number, since it uses less digits than its factorization.

90105876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357580 (or 357575 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 90105876 is about 9492.4114955052. The cubic root of 90105876 is about 448.3161366089.

The spelling of 90105876 in words is "ninety million, one hundred five thousand, eight hundred seventy-six".