105905369 has 2 divisors, whose sum is σ = 105905370. Its totient is φ = 105905368.

The previous prime is 105905357. The next prime is 105905389. The reversal of 105905369 is 963509501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103225600 + 2679769 = 10160^2 + 1637^2 .

It is an emirp because it is prime and its reverse (963509501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105905369 - 2⁴ = 105905353 is a prime.

It is a super-2 number, since 2×105905369² = 22431894366052322, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105905309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52952684 + 52952685.

It is an arithmetic number, because the mean of its divisors is an integer number (52952685).

Almost surely, 2^105905369 is an apocalyptic number.

It is an amenable number.

105905369 is a deficient number, since it is larger than the sum of its proper divisors (1).

105905369 is an equidigital number, since it uses as much as digits as its factorization.

105905369 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36450, while the sum is 38.

The square root of 105905369 is about 10291.0334272123. The cubic root of 105905369 is about 473.1214729426.

The spelling of 105905369 in words is "one hundred five million, nine hundred five thousand, three hundred sixty-nine".