105395 has 8 divisors (see below), whose sum is σ = 128304. Its totient is φ = 83104.

The previous prime is 105389. The next prime is 105397. The reversal of 105395 is 593501.

Added to its reverse (593501) it gives a square (698896 = 836²).

105395 is nontrivially palindromic in base 2.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105395 - 2⁴ = 105379 is a prime.

It is a super-2 number, since 2×105395² = 22216212050, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105395.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105395.

It is not an unprimeable number, because it can be changed into a prime (105397) 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 in 7 ways as a sum of consecutive naturals, for example, 437 + ... + 633.

It is an arithmetic number, because the mean of its divisors is an integer number (16038).

2¹⁰⁵³⁹⁵ is an apocalyptic number.

105395 is a deficient number, since it is larger than the sum of its proper divisors (22909).

105395 is a wasteful number, since it uses less digits than its factorization.

105395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309.

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

The square root of 105395 is about 324.6459610098. The cubic root of 105395 is about 47.2360241599.

Adding to 105395 its reverse (593501), we get a palindrome (698896).

The spelling of 105395 in words is "one hundred five thousand, three hundred ninety-five".