105589663 has 2 divisors, whose sum is σ = 105589664. Its totient is φ = 105589662.

The previous prime is 105589661. The next prime is 105589691. The reversal of 105589663 is 366985501.

It is a weak prime.

It is an emirp because it is prime and its reverse (366985501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105589663 - 2¹ = 105589661 is a prime.

It is a super-2 number, since 2×105589663² = 22298353864907138, which contains 22 as substring.

Together with 105589661, 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 (105589661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52794831 + 52794832.

It is an arithmetic number, because the mean of its divisors is an integer number (52794832).

Almost surely, 2^105589663 is an apocalyptic number.

105589663 is a deficient number, since it is larger than the sum of its proper divisors (1).

105589663 is an equidigital number, since it uses as much as digits as its factorization.

105589663 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 194400, while the sum is 43.

The square root of 105589663 is about 10275.6830916489. The cubic root of 105589663 is about 472.6508768569.

The spelling of 105589663 in words is "one hundred five million, five hundred eighty-nine thousand, six hundred sixty-three".