105964613 has 2 divisors, whose sum is σ = 105964614. Its totient is φ = 105964612.

The previous prime is 105964601. The next prime is 105964619. The reversal of 105964613 is 316469501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70526404 + 35438209 = 8398^2 + 5953^2 .

It is a cyclic number.

It is not a de Polignac number, because 105964613 - 2⁶ = 105964549 is a prime.

It is a super-2 number, since 2×105964613² = 22456998416479538, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105964619) 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, 52982306 + 52982307.

It is an arithmetic number, because the mean of its divisors is an integer number (52982307).

Almost surely, 2^105964613 is an apocalyptic number.

It is an amenable number.

105964613 is a deficient number, since it is larger than the sum of its proper divisors (1).

105964613 is an equidigital number, since it uses as much as digits as its factorization.

105964613 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 105964613 is about 10293.9114528929. The cubic root of 105964613 is about 473.2096786801.

The spelling of 105964613 in words is "one hundred five million, nine hundred sixty-four thousand, six hundred thirteen".