10309797600 has 144 divisors (see below), whose sum is σ = 33719091840. Its totient is φ = 2736115200.

The previous prime is 10309797571. The next prime is 10309797601. The reversal of 10309797600 is 679790301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10309797601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 496221 + ... + 516579.

It is an arithmetic number, because the mean of its divisors is an integer number (234160360).

Almost surely, 2^10309797600 is an apocalyptic number.

10309797600 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 10309797600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16859545920).

10309797600 is an abundant number, since it is smaller than the sum of its proper divisors (23409294240).

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

10309797600 is a wasteful number, since it uses less digits than its factorization.

10309797600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20593 (or 20580 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 42.

The spelling of 10309797600 in words is "ten billion, three hundred nine million, seven hundred ninety-seven thousand, six hundred".