108113041920 has 640 divisors, whose sum is σ = 393499814400. Its totient is φ = 25169362944.

The previous prime is 108113041903. The next prime is 108113041931. The reversal of 108113041920 is 29140311801.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1214753236 + ... + 1214753324.

It is an arithmetic number, because the mean of its divisors is an integer number (614843460).

Almost surely, 2^108113041920 is an apocalyptic number.

108113041920 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 108113041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196749907200).

108113041920 is an abundant number, since it is smaller than the sum of its proper divisors (285386772480).

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

108113041920 is an frugal number, since it uses more digits than its factorization.

108113041920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The spelling of 108113041920 in words is "one hundred eight billion, one hundred thirteen million, forty-one thousand, nine hundred twenty".