13105434460305 has 48 divisors (see below), whose sum is σ = 23049876632832. Its totient is φ = 6353697504000.

The previous prime is 13105434460289. The next prime is 13105434460319. The reversal of 13105434460305 is 50306443450131.

It is not a de Polignac number, because 13105434460305 - 2⁴ = 13105434460289 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25971405 + ... + 26471205.

It is an arithmetic number, because the mean of its divisors is an integer number (480205763184).

Almost surely, 2^{13105434460305} is an apocalyptic number.

13105434460305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13105434460305 is a deficient number, since it is larger than the sum of its proper divisors (9944442172527).

13105434460305 is a wasteful number, since it uses less digits than its factorization.

13105434460305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514278 (or 514267 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 13105434460305 in words is "thirteen trillion, one hundred five billion, four hundred thirty-four million, four hundred sixty thousand, three hundred five".