180108 has 18 divisors (see below), whose sum is σ = 455364. Its totient is φ = 60024.

The previous prime is 180097. The next prime is 180137. The reversal of 180108 is 801081.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 180108.

It is an unprimeable number.

180108 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 2466 + ... + 2537.

It is an arithmetic number, because the mean of its divisors is an integer number (25298).

2¹⁸⁰¹⁰⁸ is an apocalyptic number.

180108 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

180108 is an abundant number, since it is smaller than the sum of its proper divisors (275256).

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

180108 is a wasteful number, since it uses less digits than its factorization.

180108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5013 (or 5008 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 180108 is about 424.3913288464. The cubic root of 180108 is about 56.4734519075.

Adding to 180108 its reverse (801081), we get a palindrome (981189).

The spelling of 180108 in words is "one hundred eighty thousand, one hundred eight".