20814100 has 18 divisors (see below), whose sum is σ = 45166814. Its totient is φ = 8325600.

The previous prime is 20814097. The next prime is 20814119. The reversal of 20814100 is 141802.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 5588496 + 15225604 = 2364^2 + 3902^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 103971 + ... + 104170.

Almost surely, 2^20814100 is an apocalyptic number.

20814100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20814100 is an abundant number, since it is smaller than the sum of its proper divisors (24352714).

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

20814100 is a wasteful number, since it uses less digits than its factorization.

20814100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208155 (or 208148 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 20814100 is about 4562.2472532733. The cubic root of 20814100 is about 275.0759019136.

Adding to 20814100 its reverse (141802), we get a palindrome (20955902).

The spelling of 20814100 in words is "twenty million, eight hundred fourteen thousand, one hundred".