199382105 has 48 divisors (see below), whose sum is σ = 282275280. Its totient is φ = 134217216.

The previous prime is 199382093. The next prime is 199382119. The reversal of 199382105 is 501283991.

199382105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 92416 + 199289689 = 304^2 + 14117^2 .

It is not a de Polignac number, because 199382105 - 2⁶ = 199382041 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 680339 + ... + 680631.

It is an arithmetic number, because the mean of its divisors is an integer number (5880735).

Almost surely, 2^199382105 is an apocalyptic number.

It is an amenable number.

199382105 is a deficient number, since it is larger than the sum of its proper divisors (82893175).

199382105 is a wasteful number, since it uses less digits than its factorization.

199382105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 38.

The square root of 199382105 is about 14120.2728373074. The cubic root of 199382105 is about 584.2006810551.

The spelling of 199382105 in words is "one hundred ninety-nine million, three hundred eighty-two thousand, one hundred five".