105830 has 16 divisors (see below), whose sum is σ = 200880. Its totient is φ = 40032.

The previous prime is 105829. The next prime is 105863. The reversal of 105830 is 38501.

105830 = T₁₀ + T₁₁ + ... + T₈₅.

It is a super-2 number, since 2×105830² = 22399977800, which contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105799 and 105808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89 + ... + 468.

It is an arithmetic number, because the mean of its divisors is an integer number (12555).

2¹⁰⁵⁸³⁰ is an apocalyptic number.

105830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105830 is a deficient number, since it is larger than the sum of its proper divisors (95050).

105830 is a wasteful number, since it uses less digits than its factorization.

105830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 105830 is about 325.3152317368. The cubic root of 105830 is about 47.3009211858.

The spelling of 105830 in words is "one hundred five thousand, eight hundred thirty".