109820 has 36 divisors (see below), whose sum is σ = 257880. Its totient is φ = 39168.

The previous prime is 109819. The next prime is 109829. The reversal of 109820 is 28901.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 109792 and 109801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109829) 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 11 ways as a sum of consecutive naturals, for example, 5771 + ... + 5789.

2¹⁰⁹⁸²⁰ is an apocalyptic number.

109820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128940).

109820 is an abundant number, since it is smaller than the sum of its proper divisors (148060).

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

109820 is a wasteful number, since it uses less digits than its factorization.

109820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 109820 is about 331.3910077235. The cubic root of 109820 is about 47.8880492848. Note that the first 3 decimals are identical.

It can be divided in two parts, 109 and 820, that added together give a palindrome (929).

The spelling of 109820 in words is "one hundred nine thousand, eight hundred twenty".