105122989 has 2 divisors, whose sum is σ = 105122990. Its totient is φ = 105122988.

The previous prime is 105122987. The next prime is 105123001. The reversal of 105122989 is 989221501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61496964 + 43626025 = 7842^2 + 6605^2 .

It is a cyclic number.

It is not a de Polignac number, because 105122989 - 2¹ = 105122987 is a prime.

It is a super-2 number, since 2×105122989² = 22101685632588242, which contains 22 as substring.

Together with 105122987, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105122987) 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, 52561494 + 52561495.

It is an arithmetic number, because the mean of its divisors is an integer number (52561495).

Almost surely, 2^105122989 is an apocalyptic number.

It is an amenable number.

105122989 is a deficient number, since it is larger than the sum of its proper divisors (1).

105122989 is an equidigital number, since it uses as much as digits as its factorization.

105122989 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 37.

The square root of 105122989 is about 10252.9502583403. The cubic root of 105122989 is about 471.9535244027.

The spelling of 105122989 in words is "one hundred five million, one hundred twenty-two thousand, nine hundred eighty-nine".