13105399104 has 112 divisors (see below), whose sum is σ = 44031408000. Its totient is φ = 3744396288.

The previous prime is 13105399091. The next prime is 13105399129. The reversal of 13105399104 is 40199350131.

13105399104 is a `hidden beast` number, since 1 + 3 + 10 + 539 + 9 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 529629 + ... + 553820.

Almost surely, 2^13105399104 is an apocalyptic number.

13105399104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13105399104 is an abundant number, since it is smaller than the sum of its proper divisors (30926008896).

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

13105399104 is a wasteful number, since it uses less digits than its factorization.

13105399104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083477 (or 1083461 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 13105399104 in words is "thirteen billion, one hundred five million, three hundred ninety-nine thousand, one hundred four".