105000560600013 has 24 divisors (see below), whose sum is σ = 163334565549792. Its totient is φ = 64615587114528.

The previous prime is 105000560600011. The next prime is 105000560600029. The reversal of 105000560600013 is 310006065000501.

It is a happy number.

105000560600013 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 0 + 0 + 56 + 0 + 600 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 105000560600013 - 2¹ = 105000560600011 is a prime.

It is a super-2 number, since 2×105000560600013² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105000560600013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105000560600011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81702670 + ... + 82977872.

It is an arithmetic number, because the mean of its divisors is an integer number (6805606897908).

Almost surely, 2^{105000560600013} is an apocalyptic number.

105000560600013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105000560600013 is a deficient number, since it is larger than the sum of its proper divisors (58334004949779).

105000560600013 is a wasteful number, since it uses less digits than its factorization.

105000560600013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978985 (or 1978982 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 105000560600013 in words is "one hundred five trillion, five hundred sixty million, six hundred thousand, thirteen".