104524056000 has 2016 divisors, whose sum is σ = 488338538688. Its totient is φ = 21134131200.

The previous prime is 104524055983. The next prime is 104524056037. The reversal of 104524056000 is 650425401.

104524056000 is a `hidden beast` number, since 1 + 0 + 4 + 52 + 4 + 0 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×104524056000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1972151974 + ... + 1972152026.

It is an arithmetic number, because the mean of its divisors is an integer number (242231418).

Almost surely, 2^104524056000 is an apocalyptic number.

104524056000 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 104524056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244169269344).

104524056000 is an abundant number, since it is smaller than the sum of its proper divisors (383814482688).

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

104524056000 is a wasteful number, since it uses less digits than its factorization.

104524056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 104524056000 in words is "one hundred four billion, five hundred twenty-four million, fifty-six thousand".