105111061005013 has 16 divisors (see below), whose sum is σ = 126449717235840. Its totient is φ = 85353126408000.

The previous prime is 105111061005011. The next prime is 105111061005047. The reversal of 105111061005013 is 310500160111501.

It is a cyclic number.

It is not a de Polignac number, because 105111061005013 - 2¹ = 105111061005011 is a prime.

It is a super-2 number, since 2×105111061005013² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105111061005011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71101803 + ... + 72565063.

It is an arithmetic number, because the mean of its divisors is an integer number (7903107327240).

Almost surely, 2^{105111061005013} is an apocalyptic number.

It is an amenable number.

105111061005013 is a deficient number, since it is larger than the sum of its proper divisors (21338656230827).

105111061005013 is a wasteful number, since it uses less digits than its factorization.

105111061005013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003388.

The product of its (nonzero) digits is 450, while the sum is 25.

The spelling of 105111061005013 in words is "one hundred five trillion, one hundred eleven billion, sixty-one million, five thousand, thirteen".