199000900 has 72 divisors (see below), whose sum is σ = 510592320. Its totient is φ = 65869440.

The previous prime is 199000897. The next prime is 199000903. The reversal of 199000900 is 9000991.

It is an interprime number because it is at equal distance from previous prime (199000897) and next prime (199000903).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199000903) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15399 + ... + 25201.

It is an arithmetic number, because the mean of its divisors is an integer number (7091560).

Almost surely, 2^199000900 is an apocalyptic number.

199000900 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 199000900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255296160).

199000900 is an abundant number, since it is smaller than the sum of its proper divisors (311591420).

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

199000900 is a wasteful number, since it uses less digits than its factorization.

199000900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9853 (or 9846 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 28.

The square root of 199000900 is about 14106.7678792840. The cubic root of 199000900 is about 583.8281262217.

The spelling of 199000900 in words is "one hundred ninety-nine million, nine hundred", and thus it is an aban number.