208800100 has 36 divisors (see below), whose sum is σ = 455845824. Its totient is φ = 83013280.

The previous prime is 208800071. The next prime is 208800127. The reversal of 208800100 is 1008802.

It is a happy number.

208800100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10449 + ... + 22951.

It is an arithmetic number, because the mean of its divisors is an integer number (12662384).

Almost surely, 2^208800100 is an apocalyptic number.

208800100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208800100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227922912).

208800100 is an abundant number, since it is smaller than the sum of its proper divisors (247045724).

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

208800100 is a wasteful number, since it uses less digits than its factorization.

208800100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12684 (or 12677 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 208800100 is about 14449.9169547787. The cubic root of 208800100 is about 593.2579509781.

Adding to 208800100 its reverse (1008802), we get a palindrome (209808902).

The spelling of 208800100 in words is "two hundred eight million, eight hundred thousand, one hundred".