10011200 has 42 divisors (see below), whose sum is σ = 24637746. Its totient is φ = 4003840.

The previous prime is 10011191. The next prime is 10011203. The reversal of 10011200 is 211001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3125824 + 6885376 = 1768^2 + 2624^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (10011203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1529 + ... + 4728.

It is an arithmetic number, because the mean of its divisors is an integer number (586613).

Almost surely, 2^10011200 is an apocalyptic number.

10011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011200 is an abundant number, since it is smaller than the sum of its proper divisors (14626546).

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

10011200 is an equidigital number, since it uses as much as digits as its factorization.

10011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6279 (or 6264 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 10011200 is about 3164.0480400904. The cubic root of 10011200 is about 215.5238712223.

Adding to 10011200 its reverse (211001), we get a palindrome (10222201).

The spelling of 10011200 in words is "ten million, eleven thousand, two hundred".