105705 has 28 divisors (see below), whose sum is σ = 196740. Its totient is φ = 54432.

The previous prime is 105701. The next prime is 105727. The reversal of 105705 is 507501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 46656 + 59049 = 216^2 + 243^2 .

It is not a de Polignac number, because 105705 - 2² = 105701 is a prime.

It is a super-2 number, since 2×105705² = 22347094050, which contains 22 as substring.

105705 is a lucky number.

It is a congruent number.

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

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3631 + ... + 3659.

2¹⁰⁵⁷⁰⁵ is an apocalyptic number.

105705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105705 is a deficient number, since it is larger than the sum of its proper divisors (91035).

105705 is an frugal number, since it uses more digits than its factorization.

105705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 105705 is about 325.1230536274. The cubic root of 105705 is about 47.2822908524.

The spelling of 105705 in words is "one hundred five thousand, seven hundred five".