10051200 has 144 divisors (see below), whose sum is σ = 35967750. Its totient is φ = 2672640.

The previous prime is 10051187. The next prime is 10051211. The reversal of 10051200 is 215001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 8433216 + 1617984 = 2904^2 + 1272^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28626 + ... + 28974.

Almost surely, 2^10051200 is an apocalyptic number.

10051200 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 10051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17983875).

10051200 is an abundant number, since it is smaller than the sum of its proper divisors (25916550).

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

10051200 is a wasteful number, since it uses less digits than its factorization.

10051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 10051200 is about 3170.3627552695. The cubic root of 10051200 is about 215.8105334446.

Adding to 10051200 its reverse (215001), we get a palindrome (10266201).

The spelling of 10051200 in words is "ten million, fifty-one thousand, two hundred".