108638165760 has 288 divisors, whose sum is σ = 366907484160. Its totient is φ = 27350630400.

The previous prime is 108638165749. The next prime is 108638165767. The reversal of 108638165760 is 67561836801.

It is not an unprimeable number, because it can be changed into a prime (108638165767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4869511 + ... + 4891769.

It is an arithmetic number, because the mean of its divisors is an integer number (1273984320).

Almost surely, 2^108638165760 is an apocalyptic number.

108638165760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108638165760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183453742080).

108638165760 is an abundant number, since it is smaller than the sum of its proper divisors (258269318400).

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

108638165760 is a wasteful number, since it uses less digits than its factorization.

108638165760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22355 (or 22341 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 108638165760 in words is "one hundred eight billion, six hundred thirty-eight million, one hundred sixty-five thousand, seven hundred sixty".