13507104 has 96 divisors (see below), whose sum is σ = 38949120. Its totient is φ = 4073472.

The previous prime is 13507073. The next prime is 13507121. The reversal of 13507104 is 40170531.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98524 + ... + 98660.

It is an arithmetic number, because the mean of its divisors is an integer number (405720).

Almost surely, 2^13507104 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 13507104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19474560).

13507104 is an abundant number, since it is smaller than the sum of its proper divisors (25442016).

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

13507104 is a wasteful number, since it uses less digits than its factorization.

13507104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 13507104 is about 3675.2012189811. The cubic root of 13507104 is about 238.1519167567.

Adding to 13507104 its reverse (40170531), we get a palindrome (53677635).

The spelling of 13507104 in words is "thirteen million, five hundred seven thousand, one hundred four".