105724 has 6 divisors (see below), whose sum is σ = 185024. Its totient is φ = 52860.

The previous prime is 105701. The next prime is 105727. The reversal of 105724 is 427501.

It is a super-2 number, since 2×105724² = 22355128352, which contains 22 as substring.

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13212 + ... + 13219.

2¹⁰⁵⁷²⁴ is an apocalyptic number.

It is an amenable number.

105724 is a deficient number, since it is larger than the sum of its proper divisors (79300).

105724 is a wasteful number, since it uses less digits than its factorization.

105724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26435 (or 26433 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 105724 is about 325.1522720204. The cubic root of 105724 is about 47.2851236093.

It can be divided in two parts, 1057 and 24, that added together give a triangular number (1081 = T₄₆).

The spelling of 105724 in words is "one hundred five thousand, seven hundred twenty-four".