199615104 has 160 divisors (see below), whose sum is σ = 640179540. Its totient is φ = 61378560.

The previous prime is 199615093. The next prime is 199615127. The reversal of 199615104 is 401516991.

It can be written as a sum of positive squares in 2 ways, for example, as 189117504 + 10497600 = 13752^2 + 3240^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 134044 + ... + 135524.

Almost surely, 2^199615104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199615104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320089770).

199615104 is an abundant number, since it is smaller than the sum of its proper divisors (440564436).

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

199615104 is a wasteful number, since it uses less digits than its factorization.

199615104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 199615104 is about 14128.5209416980. The cubic root of 199615104 is about 584.4281591532.

The spelling of 199615104 in words is "one hundred ninety-nine million, six hundred fifteen thousand, one hundred four".