10270312 has 64 divisors (see below), whose sum is σ = 22695120. Its totient is φ = 4313088.

The previous prime is 10270303. The next prime is 10270313. The reversal of 10270312 is 21307201.

It is a happy number.

10270312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 5885476 + 4384836 = 2426^2 + 2094^2 .

It is not an unprimeable number, because it can be changed into a prime (10270313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65338 + ... + 65494.

Almost surely, 2^10270312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10270312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11347560).

10270312 is an abundant number, since it is smaller than the sum of its proper divisors (12424808).

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

10270312 is a wasteful number, since it uses less digits than its factorization.

10270312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 10270312 is about 3204.7327501681. The cubic root of 10270312 is about 217.3674675916.

Adding to 10270312 its reverse (21307201), we get a palindrome (31577513).

The spelling of 10270312 in words is "ten million, two hundred seventy thousand, three hundred twelve".