18002100 has 72 divisors (see below), whose sum is σ = 54371520. Its totient is φ = 4590080.

The previous prime is 18002059. The next prime is 18002111. The reversal of 18002100 is 120081.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5596 + ... + 8204.

It is an arithmetic number, because the mean of its divisors is an integer number (755160).

Almost surely, 2^18002100 is an apocalyptic number.

18002100 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 18002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27185760).

18002100 is an abundant number, since it is smaller than the sum of its proper divisors (36369420).

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

18002100 is a wasteful number, since it uses less digits than its factorization.

18002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2649 (or 2642 counting only the distinct ones).

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

The square root of 18002100 is about 4242.8881672747. Note that the first 3 decimals coincide. The cubic root of 18002100 is about 262.0843307967.

Adding to 18002100 its reverse (120081), we get a palindrome (18122181).

The spelling of 18002100 in words is "eighteen million, two thousand, one hundred".