104381256960 has 288 divisors, whose sum is σ = 386516148480. Its totient is φ = 26624581632.

The previous prime is 104381256953. The next prime is 104381257027. The reversal of 104381256960 is 69652183401.

104381256960 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 81 + 2 + 569 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 31 ways as a sum of consecutive naturals, for example, 729222 + ... + 860538.

It is an arithmetic number, because the mean of its divisors is an integer number (1342069960).

Almost surely, 2^104381256960 is an apocalyptic number.

104381256960 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 104381256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193258074240).

104381256960 is an abundant number, since it is smaller than the sum of its proper divisors (282134891520).

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

104381256960 is a wasteful number, since it uses less digits than its factorization.

104381256960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131370 (or 131350 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 104381256960 in words is "one hundred four billion, three hundred eighty-one million, two hundred fifty-six thousand, nine hundred sixty".