16982100 has 54 divisors (see below), whose sum is σ = 53232270. Its totient is φ = 4528320.

The previous prime is 16982093. The next prime is 16982107. The reversal of 16982100 is 128961.

It is an interprime number because it is at equal distance from previous prime (16982093) and next prime (16982107).

It can be written as a sum of positive squares in 3 ways, for example, as 4955076 + 12027024 = 2226^2 + 3468^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16982107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8535 + ... + 10334.

Almost surely, 2^16982100 is an apocalyptic number.

16982100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16982100 is an abundant number, since it is smaller than the sum of its proper divisors (36250170).

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

16982100 is a wasteful number, since it uses less digits than its factorization.

16982100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18889 (or 18879 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 16982100 is about 4120.9343600693. The cubic root of 16982100 is about 257.0378804303.

The spelling of 16982100 in words is "sixteen million, nine hundred eighty-two thousand, one hundred".