105167561 has 2 divisors, whose sum is σ = 105167562. Its totient is φ = 105167560.

The previous prime is 105167521. The next prime is 105167567. The reversal of 105167561 is 165761501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104427961 + 739600 = 10219^2 + 860^2 .

It is a cyclic number.

It is not a de Polignac number, because 105167561 - 2²⁶ = 38058697 is a prime.

It is a super-2 number, since 2×105167561² = 22120431773377442, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (105167567) 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, 52583780 + 52583781.

It is an arithmetic number, because the mean of its divisors is an integer number (52583781).

Almost surely, 2^105167561 is an apocalyptic number.

It is an amenable number.

105167561 is a deficient number, since it is larger than the sum of its proper divisors (1).

105167561 is an equidigital number, since it uses as much as digits as its factorization.

105167561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6300, while the sum is 32.

The square root of 105167561 is about 10255.1236462561. The cubic root of 105167561 is about 472.0202175219.

The spelling of 105167561 in words is "one hundred five million, one hundred sixty-seven thousand, five hundred sixty-one".