10431200 has 144 divisors (see below), whose sum is σ = 29529360. Its totient is φ = 3563520.

The previous prime is 10431199. The next prime is 10431229. The reversal of 10431200 is 213401.

It is a happy number.

10431200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176771 + ... + 176829.

It is an arithmetic number, because the mean of its divisors is an integer number (205065).

Almost surely, 2^10431200 is an apocalyptic number.

10431200 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 10431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14764680).

10431200 is an abundant number, since it is smaller than the sum of its proper divisors (19098160).

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

10431200 is a wasteful number, since it uses less digits than its factorization.

10431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 10431200 is about 3229.7368313843. The cubic root of 10431200 is about 218.4966372733.

Adding to 10431200 its reverse (213401), we get a palindrome (10644601).

The spelling of 10431200 in words is "ten million, four hundred thirty-one thousand, two hundred".