108393910560 has 768 divisors, whose sum is σ = 440240209920. Its totient is φ = 24689111040.

The previous prime is 108393910549. The next prime is 108393910561. The reversal of 108393910560 is 65019393801.

108393910560 is a `hidden beast` number, since 1 + 0 + 83 + 9 + 3 + 9 + 1 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (108393910561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40040727 + ... + 40043433.

It is an arithmetic number, because the mean of its divisors is an integer number (573229440).

Almost surely, 2^108393910560 is an apocalyptic number.

108393910560 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 108393910560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220120104960).

108393910560 is an abundant number, since it is smaller than the sum of its proper divisors (331846299360).

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

108393910560 is a wasteful number, since it uses less digits than its factorization.

108393910560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 108393910560 in words is "one hundred eight billion, three hundred ninety-three million, nine hundred ten thousand, five hundred sixty".