10000312 has 48 divisors (see below), whose sum is σ = 22120560. Its totient is φ = 4225536.

The previous prime is 10000303. The next prime is 10000339. The reversal of 10000312 is 21300001.

10000312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 10000295 and 10000304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37893 + ... + 38155.

It is an arithmetic number, because the mean of its divisors is an integer number (460845).

Almost surely, 2^10000312 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 10000312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11060280).

10000312 is an abundant number, since it is smaller than the sum of its proper divisors (12120248).

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

10000312 is a wasteful number, since it uses less digits than its factorization.

10000312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 10000312 is about 3162.3269913151. The cubic root of 10000312 is about 215.4457095920.

Adding to 10000312 its reverse (21300001), we get a palindrome (31300313).

The spelling of 10000312 in words is "ten million, three hundred twelve", and thus it is an aban number.