105589417 has 2 divisors, whose sum is σ = 105589418. Its totient is φ = 105589416.

The previous prime is 105589411. The next prime is 105589423. The reversal of 105589417 is 714985501.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (105589411) and next prime (105589423).

It can be written as a sum of positive squares in only one way, i.e., 86044176 + 19545241 = 9276^2 + 4421^2 .

It is a cyclic number.

It is not a de Polignac number, because 105589417 - 2¹¹ = 105587369 is a prime.

It is a super-2 number, since 2×105589417² = 22298249964799778, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105589417.

It is not a weakly prime, because it can be changed into another prime (105589411) 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, 52794708 + 52794709.

It is an arithmetic number, because the mean of its divisors is an integer number (52794709).

Almost surely, 2^105589417 is an apocalyptic number.

It is an amenable number.

105589417 is a deficient number, since it is larger than the sum of its proper divisors (1).

105589417 is an equidigital number, since it uses as much as digits as its factorization.

105589417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50400, while the sum is 40.

The square root of 105589417 is about 10275.6711216348. The cubic root of 105589417 is about 472.6505098001.

The spelling of 105589417 in words is "one hundred five million, five hundred eighty-nine thousand, four hundred seventeen".