84608013105 has 192 divisors, whose sum is σ = 191870208000. Its totient is φ = 34979091840.

The previous prime is 84608013089. The next prime is 84608013151. The reversal of 84608013105 is 50131080648.

84608013105 is a `hidden beast` number, since 8 + 460 + 80 + 13 + 105 = 666.

It is not a de Polignac number, because 84608013105 - 2⁴ = 84608013089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 84608013105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14477314 + ... + 14483156.

It is an arithmetic number, because the mean of its divisors is an integer number (999324000).

Almost surely, 2^84608013105 is an apocalyptic number.

It is an amenable number.

84608013105 is an abundant number, since it is smaller than the sum of its proper divisors (107262194895).

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

84608013105 is a wasteful number, since it uses less digits than its factorization.

84608013105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6081 (or 6068 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 84608013105 in words is "eighty-four billion, six hundred eight million, thirteen thousand, one hundred five".