9973102320 has 400 divisors, whose sum is σ = 36373296960. Its totient is φ = 2529128448.

The previous prime is 9973102319. The next prime is 9973102327. The reversal of 9973102320 is 232013799.

9973102320 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9973102327) 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 79 ways as a sum of consecutive naturals, for example, 13717797 + ... + 13718523.

Almost surely, 2^9973102320 is an apocalyptic number.

9973102320 is a gapful number since it is divisible by the number (90) 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 9973102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18186648480).

9973102320 is an abundant number, since it is smaller than the sum of its proper divisors (26400194640).

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

9973102320 is a wasteful number, since it uses less digits than its factorization.

9973102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 9973102320 is about 99865.4210425210. The cubic root of 9973102320 is about 2152.5013123861.

The spelling of 9973102320 in words is "nine billion, nine hundred seventy-three million, one hundred two thousand, three hundred twenty".