20982100 has 18 divisors (see below), whose sum is σ = 45531374. Its totient is φ = 8392800.

The previous prime is 20982089. The next prime is 20982103. The reversal of 20982100 is 128902.

It can be written as a sum of positive squares in 3 ways, for example, as 515524 + 20466576 = 718^2 + 4524^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20982103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 104811 + ... + 105010.

Almost surely, 2^20982100 is an apocalyptic number.

20982100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20982100 is an abundant number, since it is smaller than the sum of its proper divisors (24549274).

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

20982100 is a wasteful number, since it uses less digits than its factorization.

20982100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209835 (or 209828 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 20982100 is about 4580.6222284751. The cubic root of 20982100 is about 275.8140068747.

The spelling of 20982100 in words is "twenty million, nine hundred eighty-two thousand, one hundred".