10306312704 has 120 divisors (see below), whose sum is σ = 30549132900. Its totient is φ = 3342532608.

The previous prime is 10306312699. The next prime is 10306312711. The reversal of 10306312704 is 40721360301.

10306312704 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 631 + 27 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10306310400 + 2304 = 101520^2 + 48^2 .

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, 140272 + ... + 200720.

Almost surely, 2^10306312704 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 10306312704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15274566450).

10306312704 is an abundant number, since it is smaller than the sum of its proper divisors (20242820196).

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

10306312704 is an equidigital number, since it uses as much as digits as its factorization.

10306312704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60510 (or 60491 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 10306312704 in words is "ten billion, three hundred six million, three hundred twelve thousand, seven hundred four".