16998100 has 54 divisors (see below), whose sum is σ = 42920430. Its totient is φ = 5826240.

The previous prime is 16998071. The next prime is 16998109. The reversal of 16998100 is 189961.

It can be written as a sum of positive squares in 3 ways, for example, as 56644 + 16941456 = 238^2 + 4116^2 .

It is a super-2 number, since 2×16998100² = 577870807220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16998109) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3166 + ... + 6634.

Almost surely, 2^16998100 is an apocalyptic number.

16998100 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 16998100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21460215).

16998100 is an abundant number, since it is smaller than the sum of its proper divisors (25922330).

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

16998100 is a wasteful number, since it uses less digits than its factorization.

16998100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3497 (or 3483 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 34.

The square root of 16998100 is about 4122.8752103356. The cubic root of 16998100 is about 257.1185794246.

The spelling of 16998100 in words is "sixteen million, nine hundred ninety-eight thousand, one hundred".