104588608320 has 224 divisors, whose sum is σ = 421674950400. Its totient is φ = 23905953792.

The previous prime is 104588608307. The next prime is 104588608321. The reversal of 104588608320 is 23806885401.

104588608320 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 8 + 8 + 608 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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 (104588608321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 804175 + ... + 925134.

Almost surely, 2^104588608320 is an apocalyptic number.

104588608320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104588608320 is an abundant number, since it is smaller than the sum of its proper divisors (317086342080).

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

104588608320 is a wasteful number, since it uses less digits than its factorization.

104588608320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729342 (or 1729326 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 104588608320 in words is "one hundred four billion, five hundred eighty-eight million, six hundred eight thousand, three hundred twenty".