10322920000 has 140 divisors (see below), whose sum is σ = 25700145196. Its totient is φ = 4112640000.

The previous prime is 10322919941. The next prime is 10322920057. The reversal of 10322920000 is 2922301.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 9827946496 + 494973504 = 99136^2 + 22248^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10322920000.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 16839694 + ... + 16840306.

Almost surely, 2^10322920000 is an apocalyptic number.

10322920000 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 10322920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12850072598).

10322920000 is an abundant number, since it is smaller than the sum of its proper divisors (15377225196).

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

10322920000 is an frugal number, since it uses more digits than its factorization.

10322920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The spelling of 10322920000 in words is "ten billion, three hundred twenty-two million, nine hundred twenty thousand".