10096972032 has 288 divisors, whose sum is σ = 32927956992. Its totient is φ = 2683625472.

The previous prime is 10096972013. The next prime is 10096972033. The reversal of 10096972032 is 23027969001.

It is not an unprimeable number, because it can be changed into a prime (10096972033) 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 31 ways as a sum of consecutive naturals, for example, 4573873 + ... + 4576079.

It is an arithmetic number, because the mean of its divisors is an integer number (114333184).

Almost surely, 2^10096972032 is an apocalyptic number.

10096972032 is a gapful number since it is divisible by the number (12) 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 10096972032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16463978496).

10096972032 is an abundant number, since it is smaller than the sum of its proper divisors (22830984960).

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

10096972032 is a wasteful number, since it uses less digits than its factorization.

10096972032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The spelling of 10096972032 in words is "ten billion, ninety-six million, nine hundred seventy-two thousand, thirty-two".