105849 has 12 divisors (see below), whose sum is σ = 161200. Its totient is φ = 66744.

The previous prime is 105829. The next prime is 105863. The reversal of 105849 is 948501.

It is not a de Polignac number, because 105849 - 2⁵ = 105817 is a prime.

It is a super-2 number, since 2×105849² = 22408021602, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105849.

It is not an unprimeable number, because it can be changed into a prime (105829) 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 in 11 ways as a sum of consecutive naturals, for example, 139 + ... + 480.

2¹⁰⁵⁸⁴⁹ is an apocalyptic number.

105849 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

105849 is a deficient number, since it is larger than the sum of its proper divisors (55351).

105849 is a wasteful number, since it uses less digits than its factorization.

105849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 105849 is about 325.3444328708. The cubic root of 105849 is about 47.3037517119.

The spelling of 105849 in words is "one hundred five thousand, eight hundred forty-nine".