18280100 has 36 divisors (see below), whose sum is σ = 42005124. Its totient is φ = 6881280.

The previous prime is 18280099. The next prime is 18280159. The reversal of 18280100 is 108281.

It can be written as a sum of positive squares in 6 ways, for example, as 1420864 + 16859236 = 1192^2 + 4106^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 3677 + ... + 7076.

It is an arithmetic number, because the mean of its divisors is an integer number (1166809).

Almost surely, 2^18280100 is an apocalyptic number.

18280100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18280100 is an abundant number, since it is smaller than the sum of its proper divisors (23725024).

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

18280100 is a wasteful number, since it uses less digits than its factorization.

18280100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10784 (or 10777 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 18280100 is about 4275.5233597771. The cubic root of 18280100 is about 263.4265368240.

Adding to 18280100 its reverse (108281), we get a palindrome (18388381).

The spelling of 18280100 in words is "eighteen million, two hundred eighty thousand, one hundred".