18083100 has 144 divisors (see below), whose sum is σ = 61107200. Its totient is φ = 4043520.

The previous prime is 18083077. The next prime is 18083101. The reversal of 18083100 is 138081.

It is a happy number.

It is a super-2 number, since 2×18083100² = 653997011220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18083101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165846 + ... + 165954.

Almost surely, 2^18083100 is an apocalyptic number.

18083100 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 18083100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30553600).

18083100 is an abundant number, since it is smaller than the sum of its proper divisors (43024100).

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

18083100 is a wasteful number, since it uses less digits than its factorization.

18083100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 18083100 is about 4252.4228388061. The cubic root of 18083100 is about 262.4768233506.

The spelling of 18083100 in words is "eighteen million, eighty-three thousand, one hundred".