20826100 has 18 divisors (see below), whose sum is σ = 45192854. Its totient is φ = 8330400.

The previous prime is 20826077. The next prime is 20826103. The reversal of 20826100 is 162802.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1920996 + 18905104 = 1386^2 + 4348^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20826103) 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, 104031 + ... + 104230.

Almost surely, 2^20826100 is an apocalyptic number.

20826100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20826100 is an abundant number, since it is smaller than the sum of its proper divisors (24366754).

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

20826100 is a wasteful number, since it uses less digits than its factorization.

20826100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208275 (or 208268 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 20826100 is about 4563.5622051200. The cubic root of 20826100 is about 275.1287551344.

Adding to 20826100 its reverse (162802), we get a palindrome (20988902).

The spelling of 20826100 in words is "twenty million, eight hundred twenty-six thousand, one hundred".