105122089 has 2 divisors, whose sum is σ = 105122090. Its totient is φ = 105122088.

The previous prime is 105122051. The next prime is 105122119. The reversal of 105122089 is 980221501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78907689 + 26214400 = 8883^2 + 5120^2 .

It is a cyclic number.

It is not a de Polignac number, because 105122089 - 2²¹ = 103024937 is a prime.

It is a super-2 number, since 2×105122089² = 22101307191447842, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105122009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52561044 + 52561045.

It is an arithmetic number, because the mean of its divisors is an integer number (52561045).

Almost surely, 2^105122089 is an apocalyptic number.

It is an amenable number.

105122089 is a deficient number, since it is larger than the sum of its proper divisors (1).

105122089 is an equidigital number, since it uses as much as digits as its factorization.

105122089 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 28.

The square root of 105122089 is about 10252.9063684401. The cubic root of 105122089 is about 471.9521775378.

The spelling of 105122089 in words is "one hundred five million, one hundred twenty-two thousand, eighty-nine".