108872000640 has 512 divisors, whose sum is σ = 417179347200. Its totient is φ = 26674790400.

The previous prime is 108872000639. The next prime is 108872000647. The reversal of 108872000640 is 46000278801.

108872000640 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 7 + 2 + 0 + 0 + 0 + 640 = 666.

It is a super-2 number, since 2×108872000640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 108872000595 and 108872000604.

It is not an unprimeable number, because it can be changed into a prime (108872000647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54137235 + ... + 54139245.

Almost surely, 2^108872000640 is an apocalyptic number.

108872000640 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 108872000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208589673600).

108872000640 is an abundant number, since it is smaller than the sum of its proper divisors (308307346560).

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

108872000640 is a wasteful number, since it uses less digits than its factorization.

108872000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 108872000640 in words is "one hundred eight billion, eight hundred seventy-two million, six hundred forty", and thus it is an aban number.