105222389 has 2 divisors, whose sum is σ = 105222390. Its totient is φ = 105222388.

The previous prime is 105222343. The next prime is 105222407. The reversal of 105222389 is 983222501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88981489 + 16240900 = 9433^2 + 4030^2 .

It is an emirp because it is prime and its reverse (983222501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105222389 - 2²⁰ = 104173813 is a prime.

It is a super-2 number, since 2×105222389² = 22143502293734642, 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 (105222319) 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, 52611194 + 52611195.

It is an arithmetic number, because the mean of its divisors is an integer number (52611195).

Almost surely, 2^105222389 is an apocalyptic number.

It is an amenable number.

105222389 is a deficient number, since it is larger than the sum of its proper divisors (1).

105222389 is an equidigital number, since it uses as much as digits as its factorization.

105222389 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 105222389 is about 10257.7964982739. The cubic root of 105222389 is about 472.1022308605.

The spelling of 105222389 in words is "one hundred five million, two hundred twenty-two thousand, three hundred eighty-nine".