13107424 has 48 divisors (see below), whose sum is σ = 29393280. Its totient is φ = 5695360.

The previous prime is 13107421. The next prime is 13107431. The reversal of 13107424 is 42470131.

13107424 = T₁₈₇ + T₁₈₈ + ... + T₄₃₉.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13107395 and 13107404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13107421) 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, 7287 + ... + 8905.

It is an arithmetic number, because the mean of its divisors is an integer number (612360).

Almost surely, 2^13107424 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 13107424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14696640).

13107424 is an abundant number, since it is smaller than the sum of its proper divisors (16285856).

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

13107424 is a wasteful number, since it uses less digits than its factorization.

13107424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 13107424 is about 3620.4176554646. The cubic root of 13107424 is about 235.7793590418.

Adding to 13107424 its reverse (42470131), we get a palindrome (55577555).

It can be divided in two parts, 13107 and 424, that added together give a palindrome (13531).

The spelling of 13107424 in words is "thirteen million, one hundred seven thousand, four hundred twenty-four".