10830 has 24 divisors (see below), whose sum is σ = 27432. Its totient is φ = 2736.

The previous prime is 10799. The next prime is 10831. The reversal of 10830 is 3801.

10830 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10831) 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 11 ways as a sum of consecutive naturals, for example, 561 + ... + 579.

It is an arithmetic number, because the mean of its divisors is an integer number (1143).

2¹⁰⁸³⁰ is an apocalyptic number.

10830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13716).

10830 is an abundant number, since it is smaller than the sum of its proper divisors (16602).

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

10830 is a wasteful number, since it uses less digits than its factorization.

10830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 29 counting only the distinct ones).

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

The square root of 10830 is about 104.0672859260. The cubic root of 10830 is about 22.1246369119.

It can be divided in two parts, 108 and 30, that multiplied together give a triangular number (3240 = T₈₀).

The spelling of 10830 in words is "ten thousand, eight hundred thirty".