218100 has 36 divisors (see below), whose sum is σ = 631904. Its totient is φ = 58080.

The previous prime is 218087. The next prime is 218107. The reversal of 218100 is 1812.

It is a happy number.

It is a super-2 number, since 2×218100² = 95135220000, which contains 22 as substring.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 218100.

It is not an unprimeable number, because it can be changed into a prime (218107) by changing a digit.

218100 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 11 ways as a sum of consecutive naturals, for example, 64 + ... + 663.

2²¹⁸¹⁰⁰ is an apocalyptic number.

218100 is a gapful number since it is divisible by the number (20) 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 218100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315952).

218100 is an abundant number, since it is smaller than the sum of its proper divisors (413804).

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

218100 is a wasteful number, since it uses less digits than its factorization.

218100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 737 counting only the distinct ones).

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

The square root of 218100 is about 467.0117771534. The cubic root of 218100 is about 60.1938176821.

Adding to 218100 its reverse (1812), we get a palindrome (219912).

The spelling of 218100 in words is "two hundred eighteen thousand, one hundred".