10013600 has 36 divisors (see below), whose sum is σ = 24447654. Its totient is φ = 4005120.

The previous prime is 10013599. The next prime is 10013609. The reversal of 10013600 is 631001.

It can be written as a sum of positive squares in 3 ways, for example, as 9314704 + 698896 = 3052^2 + 836^2 .

It is not an unprimeable number, because it can be changed into a prime (10013609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5459 + ... + 7058.

Almost surely, 2^10013600 is an apocalyptic number.

10013600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10013600 is an abundant number, since it is smaller than the sum of its proper divisors (14434054).

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

10013600 is a wasteful number, since it uses less digits than its factorization.

10013600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12537 (or 12524 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 10013600 is about 3164.4272783554. The cubic root of 10013600 is about 215.5410924665.

Adding to 10013600 its reverse (631001), we get a palindrome (10644601).

The spelling of 10013600 in words is "ten million, thirteen thousand, six hundred".