10130541344 has 96 divisors (see below), whose sum is σ = 24906704256. Its totient is φ = 3940485120.

The previous prime is 10130541329. The next prime is 10130541419. The reversal of 10130541344 is 44314503101.

It is a happy number.

10130541344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1665092 + ... + 1671164.

It is an arithmetic number, because the mean of its divisors is an integer number (259444836).

Almost surely, 2^10130541344 is an apocalyptic number.

10130541344 is a gapful number since it is divisible by the number (14) 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 10130541344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12453352128).

10130541344 is an abundant number, since it is smaller than the sum of its proper divisors (14776162912).

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

10130541344 is a wasteful number, since it uses less digits than its factorization.

10130541344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6778 (or 6770 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The spelling of 10130541344 in words is "ten billion, one hundred thirty million, five hundred forty-one thousand, three hundred forty-four".