18100800 has 168 divisors, whose sum is σ = 66141600. Its totient is φ = 4815360.

The previous prime is 18100783. The next prime is 18100837. The reversal of 18100800 is 800181.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42991 + ... + 43409.

It is an arithmetic number, because the mean of its divisors is an integer number (393700).

Almost surely, 2^18100800 is an apocalyptic number.

18100800 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 18100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33070800).

18100800 is an abundant number, since it is smaller than the sum of its proper divisors (48040800).

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

18100800 is a wasteful number, since it uses less digits than its factorization.

18100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 18100800 is about 4254.5034962966. The cubic root of 18100800 is about 262.5624341288.

Adding to 18100800 its reverse (800181), we get a palindrome (18900981).

The spelling of 18100800 in words is "eighteen million, one hundred thousand, eight hundred".