105013013 has 16 divisors (see below), whose sum is σ = 123400704. Its totient is φ = 87488640.

The previous prime is 105012991. The next prime is 105013039. The reversal of 105013013 is 310310501.

It is a cyclic number.

It is not a de Polignac number, because 105013013 - 2⁶ = 105012949 is a prime.

It is a super-2 number, since 2×105013013² = 22055465798676338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105016013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104831 + ... + 105827.

It is an arithmetic number, because the mean of its divisors is an integer number (7712544).

Almost surely, 2^105013013 is an apocalyptic number.

It is an amenable number.

105013013 is a deficient number, since it is larger than the sum of its proper divisors (18387691).

105013013 is an equidigital number, since it uses as much as digits as its factorization.

105013013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412.

The product of its (nonzero) digits is 45, while the sum is 14.

The square root of 105013013 is about 10247.5857156698. The cubic root of 105013013 is about 471.7888865446.

Adding to 105013013 its reverse (310310501), we get a palindrome (415323514).

The spelling of 105013013 in words is "one hundred five million, thirteen thousand, thirteen".