10010312 has 32 divisors (see below), whose sum is σ = 20434680. Its totient is φ = 4569600.

The previous prime is 10010311. The next prime is 10010317. The reversal of 10010312 is 21301001.

10010312 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 4 ways, for example, as 8916196 + 1094116 = 2986^2 + 1046^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 10010312.

It is not an unprimeable number, because it can be changed into a prime (10010311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10028 + ... + 10980.

Almost surely, 2^10010312 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 10010312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10217340).

10010312 is an abundant number, since it is smaller than the sum of its proper divisors (10424368).

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

10010312 is a wasteful number, since it uses less digits than its factorization.

10010312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 10010312 is about 3163.9077104113. The cubic root of 10010312 is about 215.5174986643.

Adding to 10010312 its reverse (21301001), we get a palindrome (31311313).

The spelling of 10010312 in words is "ten million, ten thousand, three hundred twelve".