218106000 has 320 divisors, whose sum is σ = 894466560. Its totient is φ = 49766400.

The previous prime is 218105983. The next prime is 218106011. The reversal of 218106000 is 601812.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 377712 + ... + 378288.

It is an arithmetic number, because the mean of its divisors is an integer number (2795208).

Almost surely, 2^218106000 is an apocalyptic number.

218106000 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 218106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447233280).

218106000 is an abundant number, since it is smaller than the sum of its proper divisors (676360560).

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

218106000 is a wasteful number, since it uses less digits than its factorization.

218106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 218106000 is about 14768.4122369333. The cubic root of 218106000 is about 601.9436966066.

Adding to 218106000 its reverse (601812), we get a palindrome (218707812).

The spelling of 218106000 in words is "two hundred eighteen million, one hundred six thousand".