10803 has 8 divisors (see below), whose sum is σ = 15568. Its totient is φ = 6624.

The previous prime is 10799. The next prime is 10831. The reversal of 10803 is 30801.

10803 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 10803 - 2² = 10799 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (10853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100 + ... + 177.

It is an arithmetic number, because the mean of its divisors is an integer number (1946).

2¹⁰⁸⁰³ is an apocalyptic number.

10803 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10803 is a deficient number, since it is larger than the sum of its proper divisors (4765).

10803 is a wasteful number, since it uses less digits than its factorization.

10803 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10803 is about 103.9374812087. The cubic root of 10803 is about 22.1062354865.

It can be divided in two parts, 1080 and 3, that multiplied together give a triangular number (3240 = T₈₀).

The spelling of 10803 in words is "ten thousand, eight hundred three".