105850 has 24 divisors (see below), whose sum is σ = 206460. Its totient is φ = 40320.

The previous prime is 105829. The next prime is 105863. The reversal of 105850 is 58501.

105850 is nontrivially palindromic in base 9.

105850 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 6 ways, for example, as 42849 + 63001 = 207^2 + 251^2 .

It is a super-2 number, since 2×105850² = 22408445000, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

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, 1414 + ... + 1486.

2¹⁰⁵⁸⁵⁰ is an apocalyptic number.

105850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105850 is a deficient number, since it is larger than the sum of its proper divisors (100610).

105850 is a wasteful number, since it uses less digits than its factorization.

105850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 105850 is about 325.3459696999. The cubic root of 105850 is about 47.3039006776.

It can be divided in two parts, 1058 and 50, that multiplied together give a square (52900 = 230²).

The spelling of 105850 in words is "one hundred five thousand, eight hundred fifty".