105167989 has 2 divisors, whose sum is σ = 105167990. Its totient is φ = 105167988.

The previous prime is 105167987. The next prime is 105168013. The reversal of 105167989 is 989761501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101808100 + 3359889 = 10090^2 + 1833^2 .

It is an emirp because it is prime and its reverse (989761501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105167989 - 2¹ = 105167987 is a prime.

It is a super-2 number, since 2×105167989² = 22120611820608242, which contains 22 as substring.

Together with 105167987, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105167987) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52583994 + 52583995.

It is an arithmetic number, because the mean of its divisors is an integer number (52583995).

Almost surely, 2^105167989 is an apocalyptic number.

It is an amenable number.

105167989 is a deficient number, since it is larger than the sum of its proper divisors (1).

105167989 is an equidigital number, since it uses as much as digits as its factorization.

105167989 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 136080, while the sum is 46.

The square root of 105167989 is about 10255.1445138525. The cubic root of 105167989 is about 472.0208578473.

The spelling of 105167989 in words is "one hundred five million, one hundred sixty-seven thousand, nine hundred eighty-nine".