11137104 has 120 divisors (see below), whose sum is σ = 34819200. Its totient is φ = 3294720.

The previous prime is 11137103. The next prime is 11137123. The reversal of 11137104 is 40173111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11137103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125092 + ... + 125180.

It is an arithmetic number, because the mean of its divisors is an integer number (290160).

Almost surely, 2^11137104 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 11137104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17409600).

11137104 is an abundant number, since it is smaller than the sum of its proper divisors (23682096).

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

11137104 is a wasteful number, since it uses less digits than its factorization.

11137104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 11137104 is about 3337.2299890778. The cubic root of 11137104 is about 223.3181861463.

The spelling of 11137104 in words is "eleven million, one hundred thirty-seven thousand, one hundred four".