105562 has 8 divisors (see below), whose sum is σ = 161856. Its totient is φ = 51612.

The previous prime is 105557. The next prime is 105563. The reversal of 105562 is 265501.

It is a happy number.

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

It is a super-2 number, since 2×105562² = 22286671688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105563) by changing a digit.

105562 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, 468 + ... + 655.

It is an arithmetic number, because the mean of its divisors is an integer number (20232).

2¹⁰⁵⁵⁶² is an apocalyptic number.

105562 is a deficient number, since it is larger than the sum of its proper divisors (56294).

105562 is a wasteful number, since it uses less digits than its factorization.

105562 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172.

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 105562 is about 324.9030624663. The cubic root of 105562 is about 47.2609597301.

It can be divided in two parts, 10556 and 2, that multiplied together give a palindrome (21112).

The spelling of 105562 in words is "one hundred five thousand, five hundred sixty-two".