105506017 has 2 divisors, whose sum is σ = 105506018. Its totient is φ = 105506016.

The previous prime is 105506003. The next prime is 105506021. The reversal of 105506017 is 710605501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69072721 + 36433296 = 8311^2 + 6036^2 .

It is an emirp because it is prime and its reverse (710605501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105506017 - 2¹¹ = 105503969 is a prime.

It is a super-2 number, since 2×105506017² = 22263039246408578, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105505982 and 105506000.

It is not a weakly prime, because it can be changed into another prime (105506057) 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, 52753008 + 52753009.

It is an arithmetic number, because the mean of its divisors is an integer number (52753009).

Almost surely, 2^105506017 is an apocalyptic number.

It is an amenable number.

105506017 is a deficient number, since it is larger than the sum of its proper divisors (1).

105506017 is an equidigital number, since it uses as much as digits as its factorization.

105506017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1050, while the sum is 25.

The square root of 105506017 is about 10271.6121908880. The cubic root of 105506017 is about 472.5260357237.

The spelling of 105506017 in words is "one hundred five million, five hundred six thousand, seventeen".