105305013 has 24 divisors (see below), whose sum is σ = 167502816. Its totient is φ = 63218400.

The previous prime is 105304993. The next prime is 105305027. The reversal of 105305013 is 310503501.

It is a happy number.

It is not a de Polignac number, because 105305013 - 2⁸ = 105304757 is a prime.

It is a super-2 number, since 2×105305013² = 22178291525860338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105305033) 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, 5623 + ... + 15563.

It is an arithmetic number, because the mean of its divisors is an integer number (6979284).

Almost surely, 2^105305013 is an apocalyptic number.

It is an amenable number.

105305013 is a deficient number, since it is larger than the sum of its proper divisors (62197803).

105305013 is a wasteful number, since it uses less digits than its factorization.

105305013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10065 (or 10062 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 105305013 is about 10261.8230836436. The cubic root of 105305013 is about 472.2257684768.

Adding to 105305013 its reverse (310503501), we get a palindrome (415808514).

The spelling of 105305013 in words is "one hundred five million, three hundred five thousand, thirteen".