105805627 has 2 divisors, whose sum is σ = 105805628. Its totient is φ = 105805626.

The previous prime is 105805613. The next prime is 105805631. The reversal of 105805627 is 726508501.

It is a strong prime.

It is an emirp because it is prime and its reverse (726508501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105805627 is a prime.

It is a super-2 number, since 2×105805627² = 22389661409726258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105805592 and 105805601.

It is not a weakly prime, because it can be changed into another prime (105805027) 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, 52902813 + 52902814.

It is an arithmetic number, because the mean of its divisors is an integer number (52902814).

Almost surely, 2^105805627 is an apocalyptic number.

105805627 is a deficient number, since it is larger than the sum of its proper divisors (1).

105805627 is an equidigital number, since it uses as much as digits as its factorization.

105805627 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16800, while the sum is 34.

The square root of 105805627 is about 10286.1862223081. The cubic root of 105805627 is about 472.9728972070.

The spelling of 105805627 in words is "one hundred five million, eight hundred five thousand, six hundred twenty-seven".