105706 has 8 divisors (see below), whose sum is σ = 167940. Its totient is φ = 49728.

The previous prime is 105701. The next prime is 105727. The reversal of 105706 is 607501.

It can be written as a sum of positive squares in 2 ways, for example, as 105625 + 81 = 325^2 + 9^2 .

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

It is a super-2 number, since 2×105706² = 22347516872, which contains 22 as substring.

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

105706 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, 1521 + ... + 1588.

2¹⁰⁵⁷⁰⁶ is an apocalyptic number.

105706 is a deficient number, since it is larger than the sum of its proper divisors (62234).

105706 is a wasteful number, since it uses less digits than its factorization.

105706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3128.

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 105706 is about 325.1245915030. The cubic root of 105706 is about 47.2824399534.

The spelling of 105706 in words is "one hundred five thousand, seven hundred six".