199303104 has 448 divisors, whose sum is σ = 761951232. Its totient is φ = 44236800.

The previous prime is 199303037. The next prime is 199303147. The reversal of 199303104 is 401303991.

199303104 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 (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3267234 + ... + 3267294.

It is an arithmetic number, because the mean of its divisors is an integer number (1700784).

Almost surely, 2^199303104 is an apocalyptic number.

199303104 is a gapful number since it is divisible by the number (14) 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 199303104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380975616).

199303104 is an abundant number, since it is smaller than the sum of its proper divisors (562648128).

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

199303104 is a wasteful number, since it uses less digits than its factorization.

199303104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 199303104 is about 14117.4751283648. The cubic root of 199303104 is about 584.1235117508.

It can be divided in two parts, 199 and 303104, that added together give a palindrome (303303).

The spelling of 199303104 in words is "one hundred ninety-nine million, three hundred three thousand, one hundred four".