13105152 has 120 divisors (see below), whose sum is σ = 39639600. Its totient is φ = 4313088.

The previous prime is 13105123. The next prime is 13105159. The reversal of 13105152 is 25150131.

It is a super-3 number, since 3×13105152³ (a number of 22 digits) contains 333 as substring.

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

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 (13105159) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 165849 + ... + 165927.

It is an arithmetic number, because the mean of its divisors is an integer number (330330).

Almost surely, 2^13105152 is an apocalyptic number.

13105152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13105152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19819800).

13105152 is an abundant number, since it is smaller than the sum of its proper divisors (26534448).

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

13105152 is an frugal number, since it uses more digits than its factorization.

13105152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 13105152 is about 3620.1038659132. The cubic root of 13105152 is about 235.7657351683.

Adding to 13105152 its reverse (25150131), we get a palindrome (38255283).

The spelling of 13105152 in words is "thirteen million, one hundred five thousand, one hundred fifty-two".