105691609 has 2 divisors, whose sum is σ = 105691610. Its totient is φ = 105691608.

The previous prime is 105691577. The next prime is 105691613. The reversal of 105691609 is 906196501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102576384 + 3115225 = 10128^2 + 1765^2 .

It is a cyclic number.

It is not a de Polignac number, because 105691609 - 2⁵ = 105691577 is a prime.

It is a super-2 number, since 2×105691609² = 22341432426017762, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105691639) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52845804 + 52845805.

It is an arithmetic number, because the mean of its divisors is an integer number (52845805).

Almost surely, 2^105691609 is an apocalyptic number.

It is an amenable number.

105691609 is a deficient number, since it is larger than the sum of its proper divisors (1).

105691609 is an equidigital number, since it uses as much as digits as its factorization.

105691609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14580, while the sum is 37.

The square root of 105691609 is about 10280.6424410151. The cubic root of 105691609 is about 472.8029415125.

It can be divided in two parts, 1056 and 91609, that added together give a triangular number (92665 = T₄₃₀).

The spelling of 105691609 in words is "one hundred five million, six hundred ninety-one thousand, six hundred nine".