10199904 has 96 divisors (see below), whose sum is σ = 31497984. Its totient is φ = 2849280.

The previous prime is 10199831. The next prime is 10199911. The reversal of 10199904 is 40999101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 13357 + ... + 14099.

It is an arithmetic number, because the mean of its divisors is an integer number (328104).

Almost surely, 2^10199904 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 10199904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15748992).

10199904 is an abundant number, since it is smaller than the sum of its proper divisors (21298080).

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

10199904 is a wasteful number, since it uses less digits than its factorization.

10199904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 33.

The square root of 10199904 is about 3193.7288551159. The cubic root of 10199904 is about 216.8696081455.

The spelling of 10199904 in words is "ten million, one hundred ninety-nine thousand, nine hundred four".