110820 has 24 divisors (see below), whose sum is σ = 310464. Its totient is φ = 29536.

The previous prime is 110819. The next prime is 110821. The reversal of 110820 is 28011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (110819) and next prime (110821).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110796 and 110805.

It is not an unprimeable number, because it can be changed into a prime (110821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 864 + ... + 983.

It is an arithmetic number, because the mean of its divisors is an integer number (12936).

2¹¹⁰⁸²⁰ is an apocalyptic number.

110820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110820 is an abundant number, since it is smaller than the sum of its proper divisors (199644).

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

110820 is a wasteful number, since it uses less digits than its factorization.

110820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 110820 is about 332.8963802747. The cubic root of 110820 is about 48.0329634686.

Adding to 110820 its reverse (28011), we get a palindrome (138831).

It can be divided in two parts, 1108 and 20, that added together give a triangular number (1128 = T₄₇).

The spelling of 110820 in words is "one hundred ten thousand, eight hundred twenty".