13105824 has 24 divisors (see below), whose sum is σ = 34403040. Its totient is φ = 4368576.

The previous prime is 13105817. The next prime is 13105867. The reversal of 13105824 is 42850131.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13105794 and 13105803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68164 + ... + 68355.

It is an arithmetic number, because the mean of its divisors is an integer number (1433460).

Almost surely, 2^13105824 is an apocalyptic number.

It is an amenable number.

13105824 is an abundant number, since it is smaller than the sum of its proper divisors (21297216).

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

13105824 is a wasteful number, since it uses less digits than its factorization.

13105824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136532 (or 136524 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 13105824 is about 3620.1966797399. The cubic root of 13105824 is about 235.7697649287.

Adding to 13105824 its reverse (42850131), we get a palindrome (55955955).

The spelling of 13105824 in words is "thirteen million, one hundred five thousand, eight hundred twenty-four".