105729 has 8 divisors (see below), whose sum is σ = 151872. Its totient is φ = 65040.

The previous prime is 105727. The next prime is 105733. The reversal of 105729 is 927501.

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

It is not a de Polignac number, because 105729 - 2¹ = 105727 is a prime.

It is a super-2 number, since 2×105729² = 22357242882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105699 and 105708.

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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1317 + ... + 1394.

It is an arithmetic number, because the mean of its divisors is an integer number (18984).

2¹⁰⁵⁷²⁹ is an apocalyptic number.

It is an amenable number.

105729 is a deficient number, since it is larger than the sum of its proper divisors (46143).

105729 is a wasteful number, since it uses less digits than its factorization.

105729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2727.

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 105729 is about 325.1599606348. The cubic root of 105729 is about 47.2858690153.

The spelling of 105729 in words is "one hundred five thousand, seven hundred twenty-nine".