105611413 has 2 divisors, whose sum is σ = 105611414. Its totient is φ = 105611412.

The previous prime is 105611411. The next prime is 105611437. The reversal of 105611413 is 314116501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64112049 + 41499364 = 8007^2 + 6442^2 .

It is a cyclic number.

It is not a de Polignac number, because 105611413 - 2¹ = 105611411 is a prime.

It is a super-2 number, since 2×105611413² = 22307541111713138, which contains 22 as substring.

Together with 105611411, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105611411) 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, 52805706 + 52805707.

It is an arithmetic number, because the mean of its divisors is an integer number (52805707).

Almost surely, 2^105611413 is an apocalyptic number.

It is an amenable number.

105611413 is a deficient number, since it is larger than the sum of its proper divisors (1).

105611413 is an equidigital number, since it uses as much as digits as its factorization.

105611413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 105611413 is about 10276.7413609568. The cubic root of 105611413 is about 472.6833277948.

Adding to 105611413 its reverse (314116501), we get a palindrome (419727914).

The spelling of 105611413 in words is "one hundred five million, six hundred eleven thousand, four hundred thirteen".