105801 has 4 divisors (see below), whose sum is σ = 141072. Its totient is φ = 70532.

The previous prime is 105769. The next prime is 105817. The reversal of 105801 is 108501.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 105801 - 2⁵ = 105769 is a prime.

It is a super-2 number, since 2×105801² = 22387703202, which contains 22 as substring.

It is a D-number.

It is not an unprimeable number, because it can be changed into a prime (105871) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17631 + ... + 17636.

It is an arithmetic number, because the mean of its divisors is an integer number (35268).

2¹⁰⁵⁸⁰¹ is an apocalyptic number.

It is an amenable number.

105801 is a deficient number, since it is larger than the sum of its proper divisors (35271).

105801 is an equidigital number, since it uses as much as digits as its factorization.

105801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35270.

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 105801 is about 325.2706565308. The cubic root of 105801 is about 47.2966002560.

The spelling of 105801 in words is "one hundred five thousand, eight hundred one".