104185019520 has 768 divisors, whose sum is σ = 415016784000. Its totient is φ = 23905566720.

The previous prime is 104185019513. The next prime is 104185019591. The reversal of 104185019520 is 25910581401.

104185019520 is a `hidden beast` number, since 1 + 0 + 41 + 8 + 501 + 95 + 20 = 666.

104185019520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53952955 + ... + 53954885.

Almost surely, 2^104185019520 is an apocalyptic number.

104185019520 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 104185019520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207508392000).

104185019520 is an abundant number, since it is smaller than the sum of its proper divisors (310831764480).

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

104185019520 is a wasteful number, since it uses less digits than its factorization.

104185019520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2021 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 104185019520 in words is "one hundred four billion, one hundred eighty-five million, nineteen thousand, five hundred twenty".