105696581 has 2 divisors, whose sum is σ = 105696582. Its totient is φ = 105696580.

The previous prime is 105696571. The next prime is 105696583. The reversal of 105696581 is 185696501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102921025 + 2775556 = 10145^2 + 1666^2 .

It is an emirp because it is prime and its reverse (185696501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105696581 is a prime.

It is a super-2 number, since 2×105696581² = 22343534470179122, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 105696583, it forms a pair of twin primes.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105696583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52848290 + 52848291.

It is an arithmetic number, because the mean of its divisors is an integer number (52848291).

Almost surely, 2^105696581 is an apocalyptic number.

It is an amenable number.

105696581 is a deficient number, since it is larger than the sum of its proper divisors (1).

105696581 is an equidigital number, since it uses as much as digits as its factorization.

105696581 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64800, while the sum is 41.

The square root of 105696581 is about 10280.8842518530. The cubic root of 105696581 is about 472.8103553441.

The spelling of 105696581 in words is "one hundred five million, six hundred ninety-six thousand, five hundred eighty-one".