108105580800 has 1080 divisors, whose sum is σ = 472044564992. Its totient is φ = 23912755200.

The previous prime is 108105580757. The next prime is 108105580811. The reversal of 108105580800 is 8085501801.

108105580800 is a `hidden beast` number, since 10 + 8 + 10 + 558 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3487276785 + ... + 3487276815.

Almost surely, 2^108105580800 is an apocalyptic number.

108105580800 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 108105580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236022282496).

108105580800 is an abundant number, since it is smaller than the sum of its proper divisors (363938984192).

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

108105580800 is an frugal number, since it uses more digits than its factorization.

108105580800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 36.

The spelling of 108105580800 in words is "one hundred eight billion, one hundred five million, five hundred eighty thousand, eight hundred".