109830 has 32 divisors (see below), whose sum is σ = 301824. Its totient is φ = 25056.

The previous prime is 109829. The next prime is 109831. The reversal of 109830 is 38901.

It is an interprime number because it is at equal distance from previous prime (109829) and next prime (109831).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 109797 and 109806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52 + ... + 471.

It is an arithmetic number, because the mean of its divisors is an integer number (9432).

2¹⁰⁹⁸³⁰ is an apocalyptic number.

109830 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 109830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150912).

109830 is an abundant number, since it is smaller than the sum of its proper divisors (191994).

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

109830 is a wasteful number, since it uses less digits than its factorization.

109830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 109830 is about 331.4060952970. The cubic root of 109830 is about 47.8895027722.

It can be divided in two parts, 1098 and 30, that added together give a triangular number (1128 = T₄₇).

The spelling of 109830 in words is "one hundred nine thousand, eight hundred thirty".