103820 has 24 divisors (see below), whose sum is σ = 226800. Its totient is φ = 39872.

The previous prime is 103813. The next prime is 103837. The reversal of 103820 is 28301.

It is a junction number, because it is equal to n+sod(n) for n = 103795 and 103804.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 103820.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 491 + ... + 669.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2¹⁰³⁸²⁰ is an apocalyptic number.

103820 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 103820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113400).

103820 is an abundant number, since it is smaller than the sum of its proper divisors (122980).

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

103820 is a wasteful number, since it uses less digits than its factorization.

103820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 103820 is about 322.2111109195. The cubic root of 103820 is about 46.9995473021. Note that the first 3 decimals are identical.

The spelling of 103820 in words is "one hundred three thousand, eight hundred twenty".