105691 has 2 divisors, whose sum is σ = 105692. Its totient is φ = 105690.

The previous prime is 105683. The next prime is 105701. The reversal of 105691 is 196501.

It is a weak prime.

It is an emirp because it is prime and its reverse (196501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105691 - 2³ = 105683 is a prime.

It is a super-2 number, since 2×105691² = 22341174962, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105601) 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, 52845 + 52846.

It is an arithmetic number, because the mean of its divisors is an integer number (52846).

2¹⁰⁵⁶⁹¹ is an apocalyptic number.

105691 is a deficient number, since it is larger than the sum of its proper divisors (1).

105691 is an equidigital number, since it uses as much as digits as its factorization.

105691 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270, while the sum is 22.

The square root of 105691 is about 325.1015226049. The cubic root of 105691 is about 47.2802033407.

The spelling of 105691 in words is "one hundred five thousand, six hundred ninety-one".