108989888906880 has 384 divisors, whose sum is σ = 378615288102480. Its totient is φ = 28889748013056.

The previous prime is 108989888906807. The next prime is 108989888906929. The reversal of 108989888906880 is 88609888989801.

It can be written as a sum of positive squares in 8 ways, for example, as 36322993244736 + 72666895662144 = 6026856^2 + 8524488^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×108989888906880² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1244744062 + ... + 1244831618.

Almost surely, 2^{108989888906880} is an apocalyptic number.

108989888906880 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 108989888906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189307644051240).

108989888906880 is an abundant number, since it is smaller than the sum of its proper divisors (269625399195600).

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

108989888906880 is a wasteful number, since it uses less digits than its factorization.

108989888906880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88876 (or 88861 counting only the distinct ones).

The product of its (nonzero) digits is 9172942848, while the sum is 90.

The spelling of 108989888906880 in words is "one hundred eight trillion, nine hundred eighty-nine billion, eight hundred eighty-eight million, nine hundred six thousand, eight hundred eighty".