90108688224 has 96 divisors (see below), whose sum is σ = 257218216416. Its totient is φ = 27505336320.

The previous prime is 90108688193. The next prime is 90108688339. The reversal of 90108688224 is 42288680109.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 685747 + ... + 806514.

It is an arithmetic number, because the mean of its divisors is an integer number (2679356421).

Almost surely, 2^90108688224 is an apocalyptic number.

It is an amenable number.

90108688224 is an abundant number, since it is smaller than the sum of its proper divisors (167109528192).

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

90108688224 is a wasteful number, since it uses less digits than its factorization.

90108688224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492328 (or 1492320 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 90108688224 in words is "ninety billion, one hundred eight million, six hundred eighty-eight thousand, two hundred twenty-four".