13103640 has 128 divisors (see below), whose sum is σ = 47692800. Its totient is φ = 3173760.

The previous prime is 13103627. The next prime is 13103677. The reversal of 13103640 is 4630131.

13103640 is a `hidden beast` number, since 13 + 10 + 3 + 640 = 666.

13103640 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11329 + ... + 12431.

It is an arithmetic number, because the mean of its divisors is an integer number (372600).

Almost surely, 2^13103640 is an apocalyptic number.

13103640 is a gapful number since it is divisible by the number (10) 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 13103640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23846400).

13103640 is an abundant number, since it is smaller than the sum of its proper divisors (34589160).

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

13103640 is a wasteful number, since it uses less digits than its factorization.

13103640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13103640 is about 3619.8950261023. The cubic root of 13103640 is about 235.7566677038.

Adding to 13103640 its reverse (4630131), we get a palindrome (17733771).

It can be divided in two parts, 1310 and 3640, that added together give a triangular number (4950 = T₉₉).

The spelling of 13103640 in words is "thirteen million, one hundred three thousand, six hundred forty".