13105248 has 48 divisors (see below), whose sum is σ = 37051056. Its totient is φ = 4032000.

The previous prime is 13105247. The next prime is 13105259. The reversal of 13105248 is 84250131.

13105248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13105247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4003 + ... + 6498.

It is an arithmetic number, because the mean of its divisors is an integer number (771897).

Almost surely, 2^13105248 is an apocalyptic number.

It is an amenable number.

13105248 is an abundant number, since it is smaller than the sum of its proper divisors (23945808).

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

13105248 is a wasteful number, since it uses less digits than its factorization.

13105248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10527 (or 10519 counting only the distinct ones).

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

The square root of 13105248 is about 3620.1171251770. The cubic root of 13105248 is about 235.7663108568.

Adding to 13105248 its reverse (84250131), we get a palindrome (97355379).

The spelling of 13105248 in words is "thirteen million, one hundred five thousand, two hundred forty-eight".