18442100 has 36 divisors (see below), whose sum is σ = 40247424. Its totient is φ = 7334880.

The previous prime is 18442097. The next prime is 18442111. The reversal of 18442100 is 124481.

It is a super-2 number, since 2×18442100² = 680222104820000, which contains 22 as substring.

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

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 11 ways as a sum of consecutive naturals, for example, 21887 + ... + 22713.

It is an arithmetic number, because the mean of its divisors is an integer number (1117984).

Almost surely, 2^18442100 is an apocalyptic number.

18442100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18442100 is an abundant number, since it is smaller than the sum of its proper divisors (21805324).

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

18442100 is a wasteful number, since it uses less digits than its factorization.

18442100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 18442100 is about 4294.4266206328. The cubic root of 18442100 is about 264.2024197491.

Adding to 18442100 its reverse (124481), we get a palindrome (18566581).

The spelling of 18442100 in words is "eighteen million, four hundred forty-two thousand, one hundred".