104647672320 has 320 divisors, whose sum is σ = 341080312320. Its totient is φ = 27366064128.

The previous prime is 104647672301. The next prime is 104647672321. The reversal of 104647672320 is 23276746401.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×104647672320² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104647672321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104962062 + ... + 104963058.

It is an arithmetic number, because the mean of its divisors is an integer number (1065875976).

Almost surely, 2^104647672320 is an apocalyptic number.

104647672320 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 104647672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170540156160).

104647672320 is an abundant number, since it is smaller than the sum of its proper divisors (236432640000).

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

104647672320 is an equidigital number, since it uses as much as digits as its factorization.

104647672320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 104647672320 in words is "one hundred four billion, six hundred forty-seven million, six hundred seventy-two thousand, three hundred twenty".