105582 has 8 divisors (see below), whose sum is σ = 211176. Its totient is φ = 35192.

The previous prime is 105563. The next prime is 105601. The reversal of 105582 is 285501.

It is an interprime number because it is at equal distance from previous prime (105563) and next prime (105601).

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

105582 is an admirable number.

It is a super-2 number, since 2×105582² = 22295117448, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

105582 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, 8793 + ... + 8804.

It is an arithmetic number, because the mean of its divisors is an integer number (26397).

2¹⁰⁵⁵⁸² is an apocalyptic number.

105582 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

105582 is a wasteful number, since it uses less digits than its factorization.

105582 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17602.

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 105582 is about 324.9338394197. The cubic root of 105582 is about 47.2639442621.

The spelling of 105582 in words is "one hundred five thousand, five hundred eighty-two".