105868 has 24 divisors (see below), whose sum is σ = 224000. Its totient is φ = 42768.

The previous prime is 105863. The next prime is 105871. The reversal of 105868 is 868501.

It is a happy number.

It is a super-2 number, since 2×105868² = 22416066848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (105863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 433 + ... + 631.

2¹⁰⁵⁸⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112000).

105868 is an abundant number, since it is smaller than the sum of its proper divisors (118132).

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

105868 is a wasteful number, since it uses less digits than its factorization.

105868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 105868 is about 325.3736313840. The cubic root of 105868 is about 47.3065818993.

The spelling of 105868 in words is "one hundred five thousand, eight hundred sixty-eight".