108358810560 has 2688 divisors, whose sum is σ = 555732817920. Its totient is φ = 19269550080.

The previous prime is 108358810499. The next prime is 108358810589. The reversal of 108358810560 is 65018853801.

108358810560 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 5 + 8 + 81 + 0 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 1617295647 + ... + 1617295713.

It is an arithmetic number, because the mean of its divisors is an integer number (206745840).

Almost surely, 2^108358810560 is an apocalyptic number.

108358810560 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 108358810560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277866408960).

108358810560 is an abundant number, since it is smaller than the sum of its proper divisors (447374007360).

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

108358810560 is a wasteful number, since it uses less digits than its factorization.

108358810560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 108358810560 in words is "one hundred eight billion, three hundred fifty-eight million, eight hundred ten thousand, five hundred sixty".