10300368 has 80 divisors (see below), whose sum is σ = 30373056. Its totient is φ = 2979840.

The previous prime is 10300357. The next prime is 10300369. The reversal of 10300368 is 86300301.

10300368 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10300369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10123 + ... + 11093.

Almost surely, 2^10300368 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 10300368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15186528).

10300368 is an abundant number, since it is smaller than the sum of its proper divisors (20072688).

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

10300368 is a wasteful number, since it uses less digits than its factorization.

10300368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 10300368 is about 3209.4186389438. The cubic root of 10300368 is about 217.5793025657.

Adding to 10300368 its reverse (86300301), we get a palindrome (96600669).

The spelling of 10300368 in words is "ten million, three hundred thousand, three hundred sixty-eight".