10823103280 has 80 divisors (see below), whose sum is σ = 27528595200. Its totient is φ = 3924596480.

The previous prime is 10823103259. The next prime is 10823103281. The reversal of 10823103280 is 8230132801.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (10823103281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298791 + ... + 333049.

It is an arithmetic number, because the mean of its divisors is an integer number (344107440).

Almost surely, 2^10823103280 is an apocalyptic number.

10823103280 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 10823103280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13764297600).

10823103280 is an abundant number, since it is smaller than the sum of its proper divisors (16705491920).

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

10823103280 is a wasteful number, since it uses less digits than its factorization.

10823103280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34642 (or 34636 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 10823103280 in words is "ten billion, eight hundred twenty-three million, one hundred three thousand, two hundred eighty".