199951104 has 72 divisors (see below), whose sum is σ = 535691520. Its totient is φ = 66208768.

The previous prime is 199951069. The next prime is 199951211. The reversal of 199951104 is 401159991.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127477 + ... + 129035.

It is an arithmetic number, because the mean of its divisors is an integer number (7440160).

Almost surely, 2^199951104 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 199951104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267845760).

199951104 is an abundant number, since it is smaller than the sum of its proper divisors (335740416).

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

199951104 is a wasteful number, since it uses less digits than its factorization.

199951104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 39.

The square root of 199951104 is about 14140.4067833991. The cubic root of 199951104 is about 584.7558861678.

The spelling of 199951104 in words is "one hundred ninety-nine million, nine hundred fifty-one thousand, one hundred four".