105167089 has 2 divisors, whose sum is σ = 105167090. Its totient is φ = 105167088.

The previous prime is 105167053. The next prime is 105167099. The reversal of 105167089 is 980761501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73616400 + 31550689 = 8580^2 + 5617^2 .

It is a cyclic number.

It is not a de Polignac number, because 105167089 - 2⁷ = 105166961 is a prime.

It is a super-2 number, since 2×105167089² = 22120233217467842, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105167099) 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, 52583544 + 52583545.

It is an arithmetic number, because the mean of its divisors is an integer number (52583545).

Almost surely, 2^105167089 is an apocalyptic number.

It is an amenable number.

105167089 is a deficient number, since it is larger than the sum of its proper divisors (1).

105167089 is an equidigital number, since it uses as much as digits as its factorization.

105167089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120, while the sum is 37.

The square root of 105167089 is about 10255.1006333434. The cubic root of 105167089 is about 472.0195113667.

The spelling of 105167089 in words is "one hundred five million, one hundred sixty-seven thousand, eighty-nine".