18852100 has 36 divisors (see below), whose sum is σ = 41692644. Its totient is φ = 7396480.

The previous prime is 18852083. The next prime is 18852109. The reversal of 18852100 is 125881.

It can be written as a sum of positive squares in 6 ways, for example, as 1077444 + 17774656 = 1038^2 + 4216^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (18852109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3522 + ... + 7078.

It is an arithmetic number, because the mean of its divisors is an integer number (1158129).

Almost surely, 2^18852100 is an apocalyptic number.

18852100 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 18852100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20846322).

18852100 is an abundant number, since it is smaller than the sum of its proper divisors (22840544).

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

18852100 is a wasteful number, since it uses less digits than its factorization.

18852100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3624 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 25.

The square root of 18852100 is about 4341.9005055390. The cubic root of 18852100 is about 266.1459805117.

Adding to 18852100 its reverse (125881), we get a palindrome (18977981).

The spelling of 18852100 in words is "eighteen million, eight hundred fifty-two thousand, one hundred".