105807 has 8 divisors (see below), whose sum is σ = 151984. Its totient is φ = 65088.

The previous prime is 105769. The next prime is 105817. The reversal of 105807 is 708501.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105807 - 2¹⁵ = 73039 is a prime.

It is a super-2 number, since 2×105807² = 22390242498, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105807.

It is not an unprimeable number, because it can be changed into a prime (105817) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1318 + ... + 1395.

It is an arithmetic number, because the mean of its divisors is an integer number (18998).

2¹⁰⁵⁸⁰⁷ is an apocalyptic number.

105807 is a deficient number, since it is larger than the sum of its proper divisors (46177).

105807 is a wasteful number, since it uses less digits than its factorization.

105807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729.

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 105807 is about 325.2798794884. The cubic root of 105807 is about 47.2974943062.

The spelling of 105807 in words is "one hundred five thousand, eight hundred seven".