105800 has 36 divisors (see below), whose sum is σ = 257145. Its totient is φ = 40480.

The previous prime is 105769. The next prime is 105817. The reversal of 105800 is 8501.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 103684 + 2116 = 322^2 + 46^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=230.

It is a super-2 number, since 2×105800² = 22387280000, which contains 22 as substring.

It is an unprimeable number.

105800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4589 + ... + 4611.

2¹⁰⁵⁸⁰⁰ is an apocalyptic number.

105800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105800

105800 is an abundant number, since it is smaller than the sum of its proper divisors (151345).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105800 is a wasteful number, since it uses less digits than its factorization.

105800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 105800 is about 325.2691193458. The cubic root of 105800 is about 47.2964512443.

The spelling of 105800 in words is "one hundred five thousand, eight hundred".