18106200 has 192 divisors, whose sum is σ = 71424000. Its totient is φ = 4129920.

The previous prime is 18106177. The next prime is 18106211. The reversal of 18106200 is 260181.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37561 + ... + 38039.

It is an arithmetic number, because the mean of its divisors is an integer number (372000).

Almost surely, 2^18106200 is an apocalyptic number.

18106200 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 18106200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35712000).

18106200 is an abundant number, since it is smaller than the sum of its proper divisors (53317800).

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

18106200 is a wasteful number, since it uses less digits than its factorization.

18106200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 496 counting only the distinct ones).

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

The square root of 18106200 is about 4255.1380706153. The cubic root of 18106200 is about 262.5885415600.

Adding to 18106200 its reverse (260181), we get a palindrome (18366381).

The spelling of 18106200 in words is "eighteen million, one hundred six thousand, two hundred".