105792161 has 2 divisors, whose sum is σ = 105792162. Its totient is φ = 105792160.

The previous prime is 105792151. The next prime is 105792191. The reversal of 105792161 is 161297501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55651600 + 50140561 = 7460^2 + 7081^2 .

It is an emirp because it is prime and its reverse (161297501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105792161 - 2²² = 101597857 is a prime.

It is a super-2 number, since 2×105792161² = 22383962658099842, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105792101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52896080 + 52896081.

It is an arithmetic number, because the mean of its divisors is an integer number (52896081).

Almost surely, 2^105792161 is an apocalyptic number.

It is an amenable number.

105792161 is a deficient number, since it is larger than the sum of its proper divisors (1).

105792161 is an equidigital number, since it uses as much as digits as its factorization.

105792161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 32.

The square root of 105792161 is about 10285.5316342910. The cubic root of 105792161 is about 472.9528310932.

The spelling of 105792161 in words is "one hundred five million, seven hundred ninety-two thousand, one hundred sixty-one".