105268613 has 2 divisors, whose sum is σ = 105268614. Its totient is φ = 105268612.

The previous prime is 105268609. The next prime is 105268619. The reversal of 105268613 is 316862501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104182849 + 1085764 = 10207^2 + 1042^2 .

It is a cyclic number.

It is not a de Polignac number, because 105268613 - 2² = 105268609 is a prime.

It is a super-2 number, since 2×105268613² = 22162961765887538, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105268613.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105268619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52634306 + 52634307.

It is an arithmetic number, because the mean of its divisors is an integer number (52634307).

Almost surely, 2^105268613 is an apocalyptic number.

It is an amenable number.

105268613 is a deficient number, since it is larger than the sum of its proper divisors (1).

105268613 is an equidigital number, since it uses as much as digits as its factorization.

105268613 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 105268613 is about 10260.0493663530. The cubic root of 105268613 is about 472.1713519509.

The spelling of 105268613 in words is "one hundred five million, two hundred sixty-eight thousand, six hundred thirteen".