108020 has 24 divisors (see below), whose sum is σ = 247968. Its totient is φ = 39200.

The previous prime is 108013. The next prime is 108023. The reversal of 108020 is 20801.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is a junction number, because it is equal to n+sod(n) for n = 107992 and 108010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108023) 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, 26 + ... + 465.

It is an arithmetic number, because the mean of its divisors is an integer number (10332).

2¹⁰⁸⁰²⁰ is an apocalyptic number.

108020 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 108020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123984).

108020 is an abundant number, since it is smaller than the sum of its proper divisors (139948).

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

108020 is a wasteful number, since it uses less digits than its factorization.

108020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 108020 is about 328.6639621255. The cubic root of 108020 is about 47.6249710092.

Adding to 108020 its reverse (20801), we get a palindrome (128821).

It can be divided in two parts, 10 and 8020, that multiplied together give a triangular number (80200 = T₄₀₀).

The spelling of 108020 in words is "one hundred eight thousand, twenty".