108239265792 has 420 divisors, whose sum is σ = 376268524830. Its totient is φ = 30916214784.

The previous prime is 108239265791. The next prime is 108239265809. The reversal of 108239265792 is 297562932801.

108239265792 is a `hidden beast` number, since 10 + 8 + 2 + 39 + 26 + 579 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 96387895296 + 11851370496 = 310464^2 + 108864^2 .

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 (108239265791) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 32512384 + ... + 32515712.

Almost surely, 2^108239265792 is an apocalyptic number.

108239265792 is a gapful number since it is divisible by the number (12) 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 108239265792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188134262415).

108239265792 is an abundant number, since it is smaller than the sum of its proper divisors (268029259038).

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

108239265792 is an frugal number, since it uses more digits than its factorization.

108239265792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3381 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 108239265792 in words is "one hundred eight billion, two hundred thirty-nine million, two hundred sixty-five thousand, seven hundred ninety-two".