18882100 has 36 divisors (see below), whose sum is σ = 42302848. Its totient is φ = 7308000.

The previous prime is 18882049. The next prime is 18882113. The reversal of 18882100 is 128881.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55 + ... + 6145.

Almost surely, 2^18882100 is an apocalyptic number.

18882100 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 18882100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21151424).

18882100 is an abundant number, since it is smaller than the sum of its proper divisors (23420748).

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

18882100 is a wasteful number, since it uses less digits than its factorization.

18882100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6136 (or 6129 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 28.

The square root of 18882100 is about 4345.3538405980. The cubic root of 18882100 is about 266.2870814657.

The spelling of 18882100 in words is "eighteen million, eight hundred eighty-two thousand, one hundred".