18252100 has 36 divisors (see below), whose sum is σ = 40685764. Its totient is φ = 7102080.

The previous prime is 18252083. The next prime is 18252109. The reversal of 18252100 is 125281.

It can be written as a sum of positive squares in 6 ways, for example, as 2116 + 18249984 = 46^2 + 4272^2 .

It is not an unprimeable number, because it can be changed into a prime (18252109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1234 + ... + 6166.

Almost surely, 2^18252100 is an apocalyptic number.

18252100 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 18252100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20342882).

18252100 is an abundant number, since it is smaller than the sum of its proper divisors (22433664).

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

18252100 is a wasteful number, since it uses less digits than its factorization.

18252100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4984 (or 4977 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 18252100 is about 4272.2476519977. The cubic root of 18252100 is about 263.2919695040.

Adding to 18252100 its reverse (125281), we get a palindrome (18377381).

The spelling of 18252100 in words is "eighteen million, two hundred fifty-two thousand, one hundred".