105393 has 12 divisors (see below), whose sum is σ = 151440. Its totient is φ = 65016.

The previous prime is 105389. The next prime is 105397. The reversal of 105393 is 393501.

It is an interprime number because it is at equal distance from previous prime (105389) and next prime (105397).

It is not a de Polignac number, because 105393 - 2² = 105389 is a prime.

It is a super-2 number, since 2×105393² = 22215368898, which contains 22 as substring.

105393 is an undulating number in base 7.

It is not an unprimeable number, because it can be changed into a prime (105397) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2430 + ... + 2472.

It is an arithmetic number, because the mean of its divisors is an integer number (12620).

2¹⁰⁵³⁹³ is an apocalyptic number.

It is an amenable number.

105393 is a deficient number, since it is larger than the sum of its proper divisors (46047).

105393 is an equidigital number, since it uses as much as digits as its factorization.

105393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 21.

The square root of 105393 is about 324.6428807166. The cubic root of 105393 is about 47.2357253708.

Adding to 105393 its reverse (393501), we get a palindrome (498894).

The spelling of 105393 in words is "one hundred five thousand, three hundred ninety-three".