13540104 has 48 divisors (see below), whose sum is σ = 37100700. Its totient is φ = 4460544.

The previous prime is 13540091. The next prime is 13540117. The reversal of 13540104 is 40104531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13540091) and next prime (13540117).

It can be written as a sum of positive squares in 2 ways, for example, as 9922500 + 3617604 = 3150^2 + 1902^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 5352 + ... + 7464.

Almost surely, 2^13540104 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 13540104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18550350).

13540104 is an abundant number, since it is smaller than the sum of its proper divisors (23560596).

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

13540104 is a wasteful number, since it uses less digits than its factorization.

13540104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 13540104 is about 3679.6880302547. The cubic root of 13540104 is about 238.3457066728.

Adding to 13540104 its reverse (40104531), we get a palindrome (53644635).

The spelling of 13540104 in words is "thirteen million, five hundred forty thousand, one hundred four".