108030 has 32 divisors (see below), whose sum is σ = 280224. Its totient is φ = 26496.

The previous prime is 108023. The next prime is 108037. The reversal of 108030 is 30801.

It is an interprime number because it is at equal distance from previous prime (108023) and next prime (108037).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 107997 and 108015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108037) 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, 252 + ... + 528.

It is an arithmetic number, because the mean of its divisors is an integer number (8757).

It is the magic constant of a 60 × 60 magic square.

2¹⁰⁸⁰³⁰ is an apocalyptic number.

108030 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 108030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140112).

108030 is an abundant number, since it is smaller than the sum of its proper divisors (172194).

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

108030 is a wasteful number, since it uses less digits than its factorization.

108030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 108030 is about 328.6791748803. The cubic root of 108030 is about 47.6264405982.

Adding to 108030 its reverse (30801), we get a palindrome (138831).

It can be divided in two parts, 1080 and 30, that multiplied together give a square (32400 = 180²).

The spelling of 108030 in words is "one hundred eight thousand, thirty".