206414214100 has 36 divisors (see below), whose sum is σ = 450239709724. Its totient is φ = 82137876480.

The previous prime is 206414214077. The next prime is 206414214113. The reversal of 206414214100 is 1412414602.

206414214100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 31251875524 + 175162338576 = 176782^2 + 418524^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5328219 + ... + 5366818.

Almost surely, 2^206414214100 is an apocalyptic number.

206414214100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206414214100 is an abundant number, since it is smaller than the sum of its proper divisors (243825495624).

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

206414214100 is a wasteful number, since it uses less digits than its factorization.

206414214100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10695244 (or 10695237 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 206414214100 its reverse (1412414602), we get a palindrome (207826628702).

The spelling of 206414214100 in words is "two hundred six billion, four hundred fourteen million, two hundred fourteen thousand, one hundred".