108872164905840 has 1280 divisors, whose sum is σ = 454542907392000. Its totient is φ = 23421602856960.

The previous prime is 108872164905817. The next prime is 108872164905851. The reversal of 108872164905840 is 48509461278801.

108872164905840 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 7 + 2 + 1 + 6 + 49 + 0 + 584 + 0 = 666.

It is a super-2 number, since 2×108872164905840² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 37195818457 + ... + 37195821383.

It is an arithmetic number, because the mean of its divisors is an integer number (355111646400).

Almost surely, 2^{108872164905840} is an apocalyptic number.

108872164905840 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 108872164905840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227271453696000).

108872164905840 is an abundant number, since it is smaller than the sum of its proper divisors (345670742486160).

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

108872164905840 is a wasteful number, since it uses less digits than its factorization.

108872164905840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5095 (or 5083 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 108872164905840 in words is "one hundred eight trillion, eight hundred seventy-two billion, one hundred sixty-four million, nine hundred five thousand, eight hundred forty".