199788900 has 144 divisors (see below), whose sum is σ = 609544320. Its totient is φ = 50457600.

The previous prime is 199788899. The next prime is 199788949. The reversal of 199788900 is 9887991.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 454881 + ... + 455319.

Almost surely, 2^199788900 is an apocalyptic number.

199788900 is a gapful number since it is divisible by the number (10) 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 199788900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304772160).

199788900 is an abundant number, since it is smaller than the sum of its proper divisors (409755420).

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

199788900 is a wasteful number, since it uses less digits than its factorization.

199788900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 51.

The square root of 199788900 is about 14134.6701411812. The cubic root of 199788900 is about 584.5977218277.

The spelling of 199788900 in words is "one hundred ninety-nine million, seven hundred eighty-eight thousand, nine hundred".