199829106 has 112 divisors (see below), whose sum is σ = 481619520. Its totient is φ = 62013600.

The previous prime is 199829089. The next prime is 199829141. The reversal of 199829106 is 601928991.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1978456 + ... + 1978556.

Almost surely, 2^199829106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199829106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240809760).

199829106 is an abundant number, since it is smaller than the sum of its proper divisors (281790414).

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

199829106 is a wasteful number, since it uses less digits than its factorization.

199829106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The square root of 199829106 is about 14136.0923171858. The cubic root of 199829106 is about 584.6369344825.

The spelling of 199829106 in words is "one hundred ninety-nine million, eight hundred twenty-nine thousand, one hundred six".