108716307840 has 960 divisors, whose sum is σ = 456539466240. Its totient is φ = 24580620288.

The previous prime is 108716307809. The next prime is 108716307853. The reversal of 108716307840 is 48703617801.

108716307840 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 1 + 630 + 7 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 322600152 + ... + 322600488.

It is an arithmetic number, because the mean of its divisors is an integer number (475561944).

Almost surely, 2^108716307840 is an apocalyptic number.

108716307840 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 108716307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228269733120).

108716307840 is an abundant number, since it is smaller than the sum of its proper divisors (347823158400).

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

108716307840 is a wasteful number, since it uses less digits than its factorization.

108716307840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 108716307840 in words is "one hundred eight billion, seven hundred sixteen million, three hundred seven thousand, eight hundred forty".