18908100 has 144 divisors (see below), whose sum is σ = 62496000. Its totient is φ = 4901760.

The previous prime is 18908083. The next prime is 18908107. The reversal of 18908100 is 180981.

It is a super-2 number, since 2×18908100² = 715032491220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18908107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126826 + ... + 126974.

It is an arithmetic number, because the mean of its divisors is an integer number (434000).

Almost surely, 2^18908100 is an apocalyptic number.

18908100 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 18908100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31248000).

18908100 is an abundant number, since it is smaller than the sum of its proper divisors (43587900).

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

18908100 is a wasteful number, since it uses less digits than its factorization.

18908100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 18908100 is about 4348.3445125703. The cubic root of 18908100 is about 266.4092481166.

The spelling of 18908100 in words is "eighteen million, nine hundred eight thousand, one hundred".