108738832590 has 128 divisors (see below), whose sum is σ = 303021388800. Its totient is φ = 27695606400.

The previous prime is 108738832571. The next prime is 108738832591. The reversal of 108738832590 is 95238837801.

108738832590 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 388 + 3 + 259 + 0 = 666.

It is a super-2 number, since 2×108738832590² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108738832591) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4340721 + ... + 4365699.

It is an arithmetic number, because the mean of its divisors is an integer number (2367354600).

Almost surely, 2^108738832590 is an apocalyptic number.

108738832590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 108738832590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151510694400).

108738832590 is an abundant number, since it is smaller than the sum of its proper divisors (194282556210).

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

108738832590 is a wasteful number, since it uses less digits than its factorization.

108738832590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25719 (or 25713 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 108738832590 in words is "one hundred eight billion, seven hundred thirty-eight million, eight hundred thirty-two thousand, five hundred ninety".