104309544960 has 480 divisors, whose sum is σ = 379660160880. Its totient is φ = 27386118144.

The previous prime is 104309544949. The next prime is 104309544971. The reversal of 104309544960 is 69445903401.

104309544960 is a `hidden beast` number, since 1 + 0 + 43 + 0 + 9 + 544 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (104309544949) and next prime (104309544971).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×104309544960² (a number of 23 digits) contains 22 as substring.

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 55571542 + ... + 55573418.

Almost surely, 2^104309544960 is an apocalyptic number.

104309544960 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 104309544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189830080440).

104309544960 is an abundant number, since it is smaller than the sum of its proper divisors (275350615920).

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

104309544960 is an equidigital number, since it uses as much as digits as its factorization.

104309544960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 104309544960 in words is "one hundred four billion, three hundred nine million, five hundred forty-four thousand, nine hundred sixty".