105359 has 2 divisors, whose sum is σ = 105360. Its totient is φ = 105358.

The previous prime is 105341. The next prime is 105361. The reversal of 105359 is 953501.

It is a strong prime.

It is an emirp because it is prime and its reverse (953501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105359 is a prime.

It is a super-2 number, since 2×105359² = 22201037762, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 105361, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105319) 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, 52679 + 52680.

It is an arithmetic number, because the mean of its divisors is an integer number (52680).

2¹⁰⁵³⁵⁹ is an apocalyptic number.

105359 is a deficient number, since it is larger than the sum of its proper divisors (1).

105359 is an equidigital number, since it uses as much as digits as its factorization.

105359 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 675, while the sum is 23.

The square root of 105359 is about 324.5905112600. The cubic root of 105359 is about 47.2306453769.

It can be divided in two parts, 105 and 359, that added together give a palindrome (464).

The spelling of 105359 in words is "one hundred five thousand, three hundred fifty-nine".