199842100 has 54 divisors (see below), whose sum is σ = 443215122. Its totient is φ = 78192000.

The previous prime is 199842079. The next prime is 199842163. The reversal of 199842100 is 1248991.

199842100 = T₃₅₁ + T₃₅₂ + ... + T₁₀₇₄.

It can be written as a sum of positive squares in 9 ways, for example, as 199261456 + 580644 = 14116^2 + 762^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1104010 + ... + 1104190.

Almost surely, 2^199842100 is an apocalyptic number.

199842100 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 199842100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221607561).

199842100 is an abundant number, since it is smaller than the sum of its proper divisors (243373022).

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

199842100 is a wasteful number, since it uses less digits than its factorization.

199842100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The square root of 199842100 is about 14136.5519133910. The cubic root of 199842100 is about 584.6496063230.

The spelling of 199842100 in words is "one hundred ninety-nine million, eight hundred forty-two thousand, one hundred".