105207989 has 2 divisors, whose sum is σ = 105207990. Its totient is φ = 105207988.

The previous prime is 105207961. The next prime is 105208001. The reversal of 105207989 is 989702501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75864100 + 29343889 = 8710^2 + 5417^2 .

It is a cyclic number.

It is not a de Polignac number, because 105207989 - 2²⁰ = 104159413 is a prime.

It is a super-2 number, since 2×105207989² = 22137441898848242, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105207929) 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, 52603994 + 52603995.

It is an arithmetic number, because the mean of its divisors is an integer number (52603995).

Almost surely, 2^105207989 is an apocalyptic number.

It is an amenable number.

105207989 is a deficient number, since it is larger than the sum of its proper divisors (1).

105207989 is an equidigital number, since it uses as much as digits as its factorization.

105207989 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360, while the sum is 41.

The square root of 105207989 is about 10257.0945691263. The cubic root of 105207989 is about 472.0806936752.

The spelling of 105207989 in words is "one hundred five million, two hundred seven thousand, nine hundred eighty-nine".