105005134013 has 16 divisors (see below), whose sum is σ = 119927949120. Its totient is φ = 91078684416.

The previous prime is 105005133991. The next prime is 105005134027. The reversal of 105005134013 is 310431500501.

It is a cyclic number.

It is not a de Polignac number, because 105005134013 - 2⁸ = 105005133757 is a prime.

It is a super-2 number, since 2×105005134013² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105005134013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105005134313) by changing a digit.

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, 246995 + ... + 520592.

It is an arithmetic number, because the mean of its divisors is an integer number (7495496820).

Almost surely, 2^105005134013 is an apocalyptic number.

105005134013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105005134013 is a deficient number, since it is larger than the sum of its proper divisors (14922815107).

105005134013 is a wasteful number, since it uses less digits than its factorization.

105005134013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768236.

The product of its (nonzero) digits is 900, while the sum is 23.

Adding to 105005134013 its reverse (310431500501), we get a palindrome (415436634514).

The spelling of 105005134013 in words is "one hundred five billion, five million, one hundred thirty-four thousand, thirteen".