105268013 has 2 divisors, whose sum is σ = 105268014. Its totient is φ = 105268012.

The previous prime is 105267979. The next prime is 105268049. The reversal of 105268013 is 310862501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58782889 + 46485124 = 7667^2 + 6818^2 .

It is an emirp because it is prime and its reverse (310862501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105268013 is a prime.

It is a super-2 number, since 2×105268013² = 22162709121936338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105268613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52634006 + 52634007.

It is an arithmetic number, because the mean of its divisors is an integer number (52634007).

Almost surely, 2^105268013 is an apocalyptic number.

It is an amenable number.

105268013 is a deficient number, since it is larger than the sum of its proper divisors (1).

105268013 is an equidigital number, since it uses as much as digits as its factorization.

105268013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 105268013 is about 10260.0201266859. The cubic root of 105268013 is about 472.1704548701.

The spelling of 105268013 in words is "one hundred five million, two hundred sixty-eight thousand, thirteen".