16988100 has 72 divisors (see below), whose sum is σ = 52059168. Its totient is φ = 4262400.

The previous prime is 16988089. The next prime is 16988107. The reversal of 16988100 is 188961.

It is a super-2 number, since 2×16988100² = 577191083220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16988107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3435 + ... + 6765.

It is an arithmetic number, because the mean of its divisors is an integer number (723044).

Almost surely, 2^16988100 is an apocalyptic number.

16988100 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 16988100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26029584).

16988100 is an abundant number, since it is smaller than the sum of its proper divisors (35071068).

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

16988100 is a wasteful number, since it uses less digits than its factorization.

16988100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3365 (or 3358 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 16988100 is about 4121.6622860200. The cubic root of 16988100 is about 257.0681484907.

The spelling of 16988100 in words is "sixteen million, nine hundred eighty-eight thousand, one hundred".