10231200 has 324 divisors, whose sum is σ = 43415190. Its totient is φ = 2257920.

The previous prime is 10231183. The next prime is 10231201. The reversal of 10231200 is 213201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 7683984 + 2547216 = 2772^2 + 1596^2 .

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (10231201) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 352786 + ... + 352814.

Almost surely, 2^10231200 is an apocalyptic number.

10231200 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 10231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21707595).

10231200 is an abundant number, since it is smaller than the sum of its proper divisors (33183990).

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

10231200 is a wasteful number, since it uses less digits than its factorization.

10231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10231200 is about 3198.6247044628. The cubic root of 10231200 is about 217.0911860961.

Adding to 10231200 its reverse (213201), we get a palindrome (10444401).

The spelling of 10231200 in words is "ten million, two hundred thirty-one thousand, two hundred".