10451200 has 108 divisors (see below), whose sum is σ = 27373248. Its totient is φ = 3942400.

The previous prime is 10451183. The next prime is 10451213. The reversal of 10451200 is 215401.

It is a congruent number.

It is an unprimeable number.

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, 147165 + ... + 147235.

It is an arithmetic number, because the mean of its divisors is an integer number (253456).

Almost surely, 2^10451200 is an apocalyptic number.

10451200 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 10451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13686624).

10451200 is an abundant number, since it is smaller than the sum of its proper divisors (16922048).

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

10451200 is an equidigital number, since it uses as much as digits as its factorization.

10451200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 10451200 is about 3232.8315761883. The cubic root of 10451200 is about 218.6361911392.

Adding to 10451200 its reverse (215401), we get a palindrome (10666601).

The spelling of 10451200 in words is "ten million, four hundred fifty-one thousand, two hundred".