108345807360 has 960 divisors, whose sum is σ = 450421171200. Its totient is φ = 24449236992.

The previous prime is 108345807343. The next prime is 108345807389. The reversal of 108345807360 is 63708543801.

108345807360 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 4 + 580 + 7 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 605283751 + ... + 605283929.

It is an arithmetic number, because the mean of its divisors is an integer number (469188720).

Almost surely, 2^108345807360 is an apocalyptic number.

108345807360 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 108345807360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225210585600).

108345807360 is an abundant number, since it is smaller than the sum of its proper divisors (342075363840).

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

108345807360 is an equidigital number, since it uses as much as digits as its factorization.

108345807360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 108345807360 in words is "one hundred eight billion, three hundred forty-five million, eight hundred seven thousand, three hundred sixty".