104313816360 has 512 divisors, whose sum is σ = 394523136000. Its totient is φ = 24323245056.

The previous prime is 104313816353. The next prime is 104313816361. The reversal of 104313816360 is 63618313401.

104313816360 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 13 + 8 + 1 + 636 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (104313816361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34550931 + ... + 34553949.

It is an arithmetic number, because the mean of its divisors is an integer number (770553000).

Almost surely, 2^104313816360 is an apocalyptic number.

104313816360 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 104313816360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197261568000).

104313816360 is an abundant number, since it is smaller than the sum of its proper divisors (290209319640).

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

104313816360 is a wasteful number, since it uses less digits than its factorization.

104313816360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3182 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 104313816360 in words is "one hundred four billion, three hundred thirteen million, eight hundred sixteen thousand, three hundred sixty".