10313746600 has 72 divisors (see below), whose sum is σ = 24314958810. Its totient is φ = 4068564480.

The previous prime is 10313746591. The next prime is 10313746607. The reversal of 10313746600 is 664731301.

10313746600 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 9 ways, for example, as 1654699684 + 8659046916 = 40678^2 + 93054^2 .

It is not an unprimeable number, because it can be changed into a prime (10313746607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1060962 + ... + 1070638.

Almost surely, 2^10313746600 is an apocalyptic number.

10313746600 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 10313746600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12157479405).

10313746600 is an abundant number, since it is smaller than the sum of its proper divisors (14001212210).

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

10313746600 is an equidigital number, since it uses as much as digits as its factorization.

10313746600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9839 (or 9757 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The spelling of 10313746600 in words is "ten billion, three hundred thirteen million, seven hundred forty-six thousand, six hundred".