10351200 has 144 divisors (see below), whose sum is σ = 35622720. Its totient is φ = 2603520.

The previous prime is 10351199. The next prime is 10351217. The reversal of 10351200 is 215301.

10351200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

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, 45487 + ... + 45713.

It is an arithmetic number, because the mean of its divisors is an integer number (247380).

Almost surely, 2^10351200 is an apocalyptic number.

10351200 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 10351200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17811360).

10351200 is an abundant number, since it is smaller than the sum of its proper divisors (25271520).

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

10351200 is a wasteful number, since it uses less digits than its factorization.

10351200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 10351200 is about 3217.3280839852. The cubic root of 10351200 is about 217.9366311340.

Adding to 10351200 its reverse (215301), we get a palindrome (10566501).

The spelling of 10351200 in words is "ten million, three hundred fifty-one thousand, two hundred".