104094408960 has 720 divisors, whose sum is σ = 388912043520. Its totient is φ = 26555351040.

The previous prime is 104094408953. The next prime is 104094408961. The reversal of 104094408960 is 69804490401.

104094408960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104094408961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 446757004 + ... + 446757236.

It is an arithmetic number, because the mean of its divisors is an integer number (540155616).

Almost surely, 2^104094408960 is an apocalyptic number.

104094408960 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 104094408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194456021760).

104094408960 is an abundant number, since it is smaller than the sum of its proper divisors (284817634560).

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

104094408960 is a wasteful number, since it uses less digits than its factorization.

104094408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 104094408960 in words is "one hundred four billion, ninety-four million, four hundred eight thousand, nine hundred sixty".