104686189680 has 80 divisors (see below), whose sum is σ = 324558289440. Its totient is φ = 27913641984.

The previous prime is 104686189633. The next prime is 104686189711. The reversal of 104686189680 is 86981686401.

104686189680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 104686189680.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4810504 + ... + 4832216.

It is an arithmetic number, because the mean of its divisors is an integer number (4056978618).

Almost surely, 2^104686189680 is an apocalyptic number.

104686189680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104686189680 is an abundant number, since it is smaller than the sum of its proper divisors (219872099760).

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

104686189680 is a wasteful number, since it uses less digits than its factorization.

104686189680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41818 (or 41812 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 57.

The spelling of 104686189680 in words is "one hundred four billion, six hundred eighty-six million, one hundred eighty-nine thousand, six hundred eighty".