13105288 has 64 divisors (see below), whose sum is σ = 30096000. Its totient is φ = 5225472.

The previous prime is 13105277. The next prime is 13105319. The reversal of 13105288 is 88250131.

13105288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 115920 + ... + 116032.

It is an arithmetic number, because the mean of its divisors is an integer number (470250).

Almost surely, 2^13105288 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 13105288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15048000).

13105288 is an abundant number, since it is smaller than the sum of its proper divisors (16990712).

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

13105288 is a wasteful number, since it uses less digits than its factorization.

13105288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 13105288 is about 3620.1226498559. The cubic root of 13105288 is about 235.7665507262.

The spelling of 13105288 in words is "thirteen million, one hundred five thousand, two hundred eighty-eight".