18534100 has 72 divisors (see below), whose sum is σ = 44294040. Its totient is φ = 6689280.

The previous prime is 18534079. The next prime is 18534137. The reversal of 18534100 is 143581.

It can be written as a sum of positive squares in 12 ways, for example, as 10982596 + 7551504 = 3314^2 + 2748^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 68766 + ... + 69034.

It is an arithmetic number, because the mean of its divisors is an integer number (615195).

Almost surely, 2^18534100 is an apocalyptic number.

18534100 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 18534100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22147020).

18534100 is an abundant number, since it is smaller than the sum of its proper divisors (25759940).

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

18534100 is a wasteful number, since it uses less digits than its factorization.

18534100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 18534100 is about 4305.1248530095. The cubic root of 18534100 is about 264.6410233735.

Adding to 18534100 its reverse (143581), we get a palindrome (18677681).

The spelling of 18534100 in words is "eighteen million, five hundred thirty-four thousand, one hundred".