105577691 has 2 divisors, whose sum is σ = 105577692. Its totient is φ = 105577690.

The previous prime is 105577673. The next prime is 105577721. The reversal of 105577691 is 196775501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105577691 - 2⁶ = 105577627 is a prime.

It is a super-2 number, since 2×105577691² = 22293297673782962, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105577621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52788845 + 52788846.

It is an arithmetic number, because the mean of its divisors is an integer number (52788846).

Almost surely, 2^105577691 is an apocalyptic number.

105577691 is a deficient number, since it is larger than the sum of its proper divisors (1).

105577691 is an equidigital number, since it uses as much as digits as its factorization.

105577691 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 66150, while the sum is 41.

The square root of 105577691 is about 10275.1005347880. The cubic root of 105577691 is about 472.6330127655.

The spelling of 105577691 in words is "one hundred five million, five hundred seventy-seven thousand, six hundred ninety-one".