10111104 has 96 divisors (see below), whose sum is σ = 29755440. Its totient is φ = 3294720.

The previous prime is 10111103. The next prime is 10111109. The reversal of 10111104 is 40111101.

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

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10111103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77119 + ... + 77249.

Almost surely, 2^10111104 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 10111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14877720).

10111104 is an abundant number, since it is smaller than the sum of its proper divisors (19644336).

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

10111104 is a wasteful number, since it uses less digits than its factorization.

10111104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 10111104 is about 3179.7962198858. The cubic root of 10111104 is about 216.2384198639.

Adding to 10111104 its reverse (40111101), we get a palindrome (50222205).

The spelling of 10111104 in words is "ten million, one hundred eleven thousand, one hundred four".