10312200 has 144 divisors (see below), whose sum is σ = 36777780. Its totient is φ = 2580480.

The previous prime is 10312187. The next prime is 10312207. The reversal of 10312200 is 221301.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3992004 + 6320196 = 1998^2 + 2514^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30432 + ... + 30768.

Almost surely, 2^10312200 is an apocalyptic number.

10312200 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 10312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18388890).

10312200 is an abundant number, since it is smaller than the sum of its proper divisors (26465580).

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

10312200 is a wasteful number, since it uses less digits than its factorization.

10312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 364 counting only the distinct ones).

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

The square root of 10312200 is about 3211.2614343899. The cubic root of 10312200 is about 217.6625815709.

Adding to 10312200 its reverse (221301), we get a palindrome (10533501).

The spelling of 10312200 in words is "ten million, three hundred twelve thousand, two hundred".