108171865368 has 960 divisors, whose sum is σ = 400117766400. Its totient is φ = 26649907200.

The previous prime is 108171865343. The next prime is 108171865381. The reversal of 108171865368 is 863568171801.

108171865368 is a `hidden beast` number, since 10 + 8 + 17 + 1 + 86 + 536 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 1071008518 + ... + 1071008618.

It is an arithmetic number, because the mean of its divisors is an integer number (416789340).

Almost surely, 2^108171865368 is an apocalyptic number.

108171865368 is a gapful number since it is divisible by the number (18) 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 108171865368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200058883200).

108171865368 is an abundant number, since it is smaller than the sum of its proper divisors (291945901032).

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

108171865368 is a wasteful number, since it uses less digits than its factorization.

108171865368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 108171865368 in words is "one hundred eight billion, one hundred seventy-one million, eight hundred sixty-five thousand, three hundred sixty-eight".