11815104 has 112 divisors (see below), whose sum is σ = 36576000. Its totient is φ = 3296256.

The previous prime is 11815103. The next prime is 11815109. The reversal of 11815104 is 40151811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11815103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79222 + ... + 79370.

Almost surely, 2^11815104 is an apocalyptic number.

11815104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11815104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18288000).

11815104 is an abundant number, since it is smaller than the sum of its proper divisors (24760896).

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

11815104 is a wasteful number, since it uses less digits than its factorization.

11815104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 21.

The square root of 11815104 is about 3437.3105765991. The cubic root of 11815104 is about 227.7609066403.

Adding to 11815104 its reverse (40151811), we get a palindrome (51966915).

The spelling of 11815104 in words is "eleven million, eight hundred fifteen thousand, one hundred four".