10391200 has 72 divisors (see below), whose sum is σ = 26248320. Its totient is φ = 4012800.

The previous prime is 10391179. The next prime is 10391203. The reversal of 10391200 is 219301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10391203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24591 + ... + 25009.

It is an arithmetic number, because the mean of its divisors is an integer number (364560).

Almost surely, 2^10391200 is an apocalyptic number.

10391200 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 10391200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13124160).

10391200 is an abundant number, since it is smaller than the sum of its proper divisors (15857120).

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

10391200 is a wasteful number, since it uses less digits than its factorization.

10391200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 10391200 is about 3223.5384284975. The cubic root of 10391200 is about 218.2169934870.

The spelling of 10391200 in words is "ten million, three hundred ninety-one thousand, two hundred".