105931691 has 2 divisors, whose sum is σ = 105931692. Its totient is φ = 105931690.

The previous prime is 105931673. The next prime is 105931799. The reversal of 105931691 is 196139501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105931691 - 2¹⁸ = 105669547 is a prime.

It is a super-2 number, since 2×105931691² = 22443046316238962, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105931601) 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, 52965845 + 52965846.

It is an arithmetic number, because the mean of its divisors is an integer number (52965846).

Almost surely, 2^105931691 is an apocalyptic number.

105931691 is a deficient number, since it is larger than the sum of its proper divisors (1).

105931691 is an equidigital number, since it uses as much as digits as its factorization.

105931691 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7290, while the sum is 35.

The square root of 105931691 is about 10292.3122280662. The cubic root of 105931691 is about 473.1606666490.

The spelling of 105931691 in words is "one hundred five million, nine hundred thirty-one thousand, six hundred ninety-one".