108004721760 has 768 divisors, whose sum is σ = 432436838400. Its totient is φ = 24956854272.

The previous prime is 108004721753. The next prime is 108004721789. The reversal of 108004721760 is 67127400801.

108004721760 is a `hidden beast` number, since 10 + 8 + 0 + 0 + 472 + 176 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 135513682 + ... + 135514478.

It is an arithmetic number, because the mean of its divisors is an integer number (563068800).

Almost surely, 2^108004721760 is an apocalyptic number.

108004721760 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 108004721760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216218419200).

108004721760 is an abundant number, since it is smaller than the sum of its proper divisors (324432116640).

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

108004721760 is a wasteful number, since it uses less digits than its factorization.

108004721760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 108004721760 in words is "one hundred eight billion, four million, seven hundred twenty-one thousand, seven hundred sixty".