199076900 has 72 divisors (see below), whose sum is σ = 478094400. Its totient is φ = 71344000.

The previous prime is 199076897. The next prime is 199076903. The reversal of 199076900 is 9670991.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (199076897) and next prime (199076903).

It is a super-2 number, since 2×199076900² = 79263224227220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (199076903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76826 + ... + 79374.

It is an arithmetic number, because the mean of its divisors is an integer number (6640200).

Almost surely, 2^199076900 is an apocalyptic number.

199076900 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 199076900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239047200).

199076900 is an abundant number, since it is smaller than the sum of its proper divisors (279017500).

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

199076900 is a wasteful number, since it uses less digits than its factorization.

199076900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2645 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 41.

The square root of 199076900 is about 14109.4613646305. The cubic root of 199076900 is about 583.9024396046.

The spelling of 199076900 in words is "one hundred ninety-nine million, seventy-six thousand, nine hundred".