105704 has 16 divisors (see below), whose sum is σ = 202020. Its totient is φ = 51840.

The previous prime is 105701. The next prime is 105727. The reversal of 105704 is 407501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 96100 + 9604 = 310^2 + 98^2 .

It is a super-2 number, since 2×105704² = 22346671232, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 494 + ... + 674.

2¹⁰⁵⁷⁰⁴ is an apocalyptic number.

It is an amenable number.

105704 is a deficient number, since it is larger than the sum of its proper divisors (96316).

105704 is a wasteful number, since it uses less digits than its factorization.

105704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 105704 is about 325.1215157445. The cubic root of 105704 is about 47.2821417506.

It can be divided in two parts, 105 and 704, that multiplied together give a triangular number (73920 = T₃₈₄).

The spelling of 105704 in words is "one hundred five thousand, seven hundred four".