105708 has 24 divisors (see below), whose sum is σ = 258048. Its totient is φ = 33616.

The previous prime is 105701. The next prime is 105727. The reversal of 105708 is 807501.

It is a happy number.

It is a super-2 number, since 2×105708² = 22348362528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105701) by changing a digit.

105708 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 7 ways as a sum of consecutive naturals, for example, 85 + ... + 467.

It is an arithmetic number, because the mean of its divisors is an integer number (10752).

2¹⁰⁵⁷⁰⁸ 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 105708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129024).

105708 is an abundant number, since it is smaller than the sum of its proper divisors (152340).

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

105708 is a wasteful number, since it uses less digits than its factorization.

105708 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 105708 is about 325.1276672324. The cubic root of 105708 is about 47.2827381524.

The spelling of 105708 in words is "one hundred five thousand, seven hundred eight".