13424100 has 72 divisors (see below), whose sum is σ = 40205760. Its totient is φ = 3454080.

The previous prime is 13424083. The next prime is 13424107. The reversal of 13424100 is 142431.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13424100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13424107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7929 + ... + 9471.

Almost surely, 2^13424100 is an apocalyptic number.

13424100 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 13424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20102880).

13424100 is an abundant number, since it is smaller than the sum of its proper divisors (26781660).

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

13424100 is a wasteful number, since it uses less digits than its factorization.

13424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 13424100 is about 3663.8913739356. The cubic root of 13424100 is about 237.6630828204.

Adding to 13424100 its reverse (142431), we get a palindrome (13566531).

The spelling of 13424100 in words is "thirteen million, four hundred twenty-four thousand, one hundred".