10045200 has 120 divisors (see below), whose sum is σ = 35149536. Its totient is φ = 2432000.

The previous prime is 10045199. The next prime is 10045207. The reversal of 10045200 is 254001.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10045207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12820 + ... + 13580.

Almost surely, 2^10045200 is an apocalyptic number.

10045200 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 10045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17574768).

10045200 is an abundant number, since it is smaller than the sum of its proper divisors (25104336).

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

10045200 is a wasteful number, since it uses less digits than its factorization.

10045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 10045200 is about 3169.4163500556. The cubic root of 10045200 is about 215.7675826546.

Adding to 10045200 its reverse (254001), we get a palindrome (10299201).

The spelling of 10045200 in words is "ten million, forty-five thousand, two hundred".