105384 has 16 divisors (see below), whose sum is σ = 263520. Its totient is φ = 35120.

The previous prime is 105379. The next prime is 105389. The reversal of 105384 is 483501.

It is an interprime number because it is at equal distance from previous prime (105379) and next prime (105389).

It is a super-2 number, since 2×105384² = 22211574912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105384.

It is not an unprimeable number, because it can be changed into a prime (105389) by changing a digit.

105384 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2172 + ... + 2219.

It is an arithmetic number, because the mean of its divisors is an integer number (16470).

2¹⁰⁵³⁸⁴ is an apocalyptic number.

It is an amenable number.

105384 is an abundant number, since it is smaller than the sum of its proper divisors (158136).

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

105384 is a wasteful number, since it uses less digits than its factorization.

105384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4400 (or 4396 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 105384 is about 324.6290190356. The cubic root of 105384 is about 47.2343807728.

Adding to 105384 its reverse (483501), we get a palindrome (588885).

The spelling of 105384 in words is "one hundred five thousand, three hundred eighty-four".