105164341 has 2 divisors, whose sum is σ = 105164342. Its totient is φ = 105164340.

The previous prime is 105164291. The next prime is 105164377. The reversal of 105164341 is 143461501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58583716 + 46580625 = 7654^2 + 6825^2 .

It is a cyclic number.

It is not a de Polignac number, because 105164341 - 2⁹ = 105163829 is a prime.

It is a super-2 number, since 2×105164341² = 22119077235928562, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105164041) 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, 52582170 + 52582171.

It is an arithmetic number, because the mean of its divisors is an integer number (52582171).

Almost surely, 2^105164341 is an apocalyptic number.

It is an amenable number.

105164341 is a deficient number, since it is larger than the sum of its proper divisors (1).

105164341 is an equidigital number, since it uses as much as digits as its factorization.

105164341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 105164341 is about 10254.9666503602. The cubic root of 105164341 is about 472.0154000649.

The spelling of 105164341 in words is "one hundred five million, one hundred sixty-four thousand, three hundred forty-one".