105390 has 24 divisors (see below), whose sum is σ = 274248. Its totient is φ = 28080.

The previous prime is 105389. The next prime is 105397. The reversal of 105390 is 93501.

It is a super-2 number, since 2×105390² = 22214104200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 496 + ... + 675.

It is an arithmetic number, because the mean of its divisors is an integer number (11427).

2¹⁰⁵³⁹⁰ is an apocalyptic number.

105390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105390 is an abundant number, since it is smaller than the sum of its proper divisors (168858).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105390 is a wasteful number, since it uses less digits than its factorization.

105390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 105390 is about 324.6382602221. The cubic root of 105390 is about 47.2352771800.

Adding to 105390 its reverse (93501), we get a palindrome (198891).

The spelling of 105390 in words is "one hundred five thousand, three hundred ninety".