199140900 has 432 divisors, whose sum is σ = 759951360. Its totient is φ = 39916800.

The previous prime is 199140899. The next prime is 199140911. The reversal of 199140900 is 9041991.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6423885 + ... + 6423915.

Almost surely, 2^199140900 is an apocalyptic number.

199140900 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 199140900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379975680).

199140900 is an abundant number, since it is smaller than the sum of its proper divisors (560810460).

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

199140900 is a wasteful number, since it uses less digits than its factorization.

199140900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 33.

The square root of 199140900 is about 14111.7291640677. The cubic root of 199140900 is about 583.9650046272.

The spelling of 199140900 in words is "one hundred ninety-nine million, one hundred forty thousand, nine hundred".