105065561 has 2 divisors, whose sum is σ = 105065562. Its totient is φ = 105065560.

The previous prime is 105065549. The next prime is 105065563. The reversal of 105065561 is 165560501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104939536 + 126025 = 10244^2 + 355^2 .

It is a cyclic number.

It is not a de Polignac number, because 105065561 - 2¹⁰ = 105064537 is a prime.

It is a super-2 number, since 2×105065561² = 22077544216489442, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 105065563, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (105065563) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52532780 + 52532781.

It is an arithmetic number, because the mean of its divisors is an integer number (52532781).

Almost surely, 2^105065561 is an apocalyptic number.

It is an amenable number.

105065561 is a deficient number, since it is larger than the sum of its proper divisors (1).

105065561 is an equidigital number, since it uses as much as digits as its factorization.

105065561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4500, while the sum is 29.

The square root of 105065561 is about 10250.1493159856. The cubic root of 105065561 is about 471.8675670423.

The spelling of 105065561 in words is "one hundred five million, sixty-five thousand, five hundred sixty-one".