10124504320 has 288 divisors, whose sum is σ = 29360604672. Its totient is φ = 3269984256.

The previous prime is 10124504281. The next prime is 10124504323. The reversal of 10124504320 is 2340542101.

10124504320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10124504291 and 10124504300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10124504323) 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 31 ways as a sum of consecutive naturals, for example, 15043504 + ... + 15044176.

It is an arithmetic number, because the mean of its divisors is an integer number (101946544).

Almost surely, 2^10124504320 is an apocalyptic number.

10124504320 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 10124504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14680302336).

10124504320 is an abundant number, since it is smaller than the sum of its proper divisors (19236100352).

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

10124504320 is an equidigital number, since it uses as much as digits as its factorization.

10124504320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The spelling of 10124504320 in words is "ten billion, one hundred twenty-four million, five hundred four thousand, three hundred twenty".