105829 has 2 divisors, whose sum is σ = 105830. Its totient is φ = 105828.

The previous prime is 105817. The next prime is 105863. The reversal of 105829 is 928501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65025 + 40804 = 255^2 + 202^2 .

It is a cyclic number.

It is not a de Polignac number, because 105829 - 2⁷ = 105701 is a prime.

It is a super-2 number, since 2×105829² = 22399554482, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105899) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52914 + 52915.

It is an arithmetic number, because the mean of its divisors is an integer number (52915).

2¹⁰⁵⁸²⁹ is an apocalyptic number.

It is an amenable number.

105829 is a deficient number, since it is larger than the sum of its proper divisors (1).

105829 is an equidigital number, since it uses as much as digits as its factorization.

105829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 105829 is about 325.3136947625. The cubic root of 105829 is about 47.3007722014.

The spelling of 105829 in words is "one hundred five thousand, eight hundred twenty-nine".