105816 has 16 divisors (see below), whose sum is σ = 264600. Its totient is φ = 35264.

The previous prime is 105769. The next prime is 105817. The reversal of 105816 is 618501.

It is a super-2 number, since 2×105816² = 22394051712, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 105792 and 105801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105817) by changing a digit.

105816 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, 2181 + ... + 2228.

2¹⁰⁵⁸¹⁶ is an apocalyptic number.

It is an amenable number.

105816 is an abundant number, since it is smaller than the sum of its proper divisors (158784).

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

105816 is a wasteful number, since it uses less digits than its factorization.

105816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4418 (or 4414 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 105816 is about 325.2937134345. The cubic root of 105816 is about 47.2988353183.

The spelling of 105816 in words is "one hundred five thousand, eight hundred sixteen".