108138765840 has 320 divisors, whose sum is σ = 398734479360. Its totient is φ = 23720417280.

The previous prime is 108138765827. The next prime is 108138765853. The reversal of 108138765840 is 48567831801.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (108138765827) and next prime (108138765853).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8129595 + ... + 8142885.

It is an arithmetic number, because the mean of its divisors is an integer number (1246045248).

Almost surely, 2^108138765840 is an apocalyptic number.

108138765840 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 108138765840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199367239680).

108138765840 is an abundant number, since it is smaller than the sum of its proper divisors (290595713520).

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

108138765840 is a wasteful number, since it uses less digits than its factorization.

108138765840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13510 (or 13504 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 108138765840 in words is "one hundred eight billion, one hundred thirty-eight million, seven hundred sixty-five thousand, eight hundred forty".