10807 has 4 divisors (see below), whose sum is σ = 11016. Its totient is φ = 10600.

The previous prime is 10799. The next prime is 10831. The reversal of 10807 is 70801.

10807 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 70801 = 101 ⋅701.

It is a cyclic number.

It is not a de Polignac number, because 10807 - 2³ = 10799 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10837) 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, 48 + ... + 154.

It is an arithmetic number, because the mean of its divisors is an integer number (2754).

2¹⁰⁸⁰⁷ is an apocalyptic number.

10807 is a deficient number, since it is larger than the sum of its proper divisors (209).

10807 is a wasteful number, since it uses less digits than its factorization.

10807 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208.

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 10807 is about 103.9567217644. The cubic root of 10807 is about 22.1089635568.

The spelling of 10807 in words is "ten thousand, eight hundred seven".