108991680 has 224 divisors, whose sum is σ = 404774400. Its totient is φ = 24837120.

The previous prime is 108991669. The next prime is 108991681. The reversal of 108991680 is 86199801.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (108991681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329115 + ... + 329445.

Almost surely, 2^108991680 is an apocalyptic number.

108991680 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 108991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202387200).

108991680 is an abundant number, since it is smaller than the sum of its proper divisors (295782720).

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

108991680 is an equidigital number, since it uses as much as digits as its factorization.

108991680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 42.

The square root of 108991680 is about 10439.9080455720. The cubic root of 108991680 is about 477.6734638360.

The spelling of 108991680 in words is "one hundred eight million, nine hundred ninety-one thousand, six hundred eighty".