199105680 has 80 divisors (see below), whose sum is σ = 618710400. Its totient is φ = 52967424.

The previous prime is 199105679. The next prime is 199105703. The reversal of 199105680 is 86501991.

199105680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141621 + ... + 143019.

It is an arithmetic number, because the mean of its divisors is an integer number (7733880).

Almost surely, 2^199105680 is an apocalyptic number.

199105680 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 199105680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309355200).

199105680 is an abundant number, since it is smaller than the sum of its proper divisors (419604720).

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

199105680 is a wasteful number, since it uses less digits than its factorization.

199105680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2008 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 39.

The square root of 199105680 is about 14110.4812107880. The cubic root of 199105680 is about 583.9305759721.

The spelling of 199105680 in words is "one hundred ninety-nine million, one hundred five thousand, six hundred eighty".