105528317 has 2 divisors, whose sum is σ = 105528318. Its totient is φ = 105528316.

The previous prime is 105528277. The next prime is 105528323. The reversal of 105528317 is 713825501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66765241 + 38763076 = 8171^2 + 6226^2 .

It is an emirp because it is prime and its reverse (713825501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105528317 - 2⁶ = 105528253 is a prime.

It is a super-2 number, since 2×105528317² = 22272451377704978, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105528377) 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, 52764158 + 52764159.

It is an arithmetic number, because the mean of its divisors is an integer number (52764159).

Almost surely, 2^105528317 is an apocalyptic number.

It is an amenable number.

105528317 is a deficient number, since it is larger than the sum of its proper divisors (1).

105528317 is an equidigital number, since it uses as much as digits as its factorization.

105528317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8400, while the sum is 32.

The square root of 105528317 is about 10272.6976495953. The cubic root of 105528317 is about 472.5593247834.

The spelling of 105528317 in words is "one hundred five million, five hundred twenty-eight thousand, three hundred seventeen".