10105044320 has 48 divisors (see below), whose sum is σ = 27283622688. Its totient is φ = 3464586240.

The previous prime is 10105044259. The next prime is 10105044329. The reversal of 10105044320 is 2344050101.

10105044320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10105044320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10105044292 and 10105044301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105044329) 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 7 ways as a sum of consecutive naturals, for example, 4510061 + ... + 4512300.

It is an arithmetic number, because the mean of its divisors is an integer number (568408806).

Almost surely, 2^10105044320 is an apocalyptic number.

10105044320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10105044320 is an abundant number, since it is smaller than the sum of its proper divisors (17178578368).

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

10105044320 is an equidigital number, since it uses as much as digits as its factorization.

10105044320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9022383 (or 9022375 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 10105044320 its reverse (2344050101), we get a palindrome (12449094421).

The spelling of 10105044320 in words is "ten billion, one hundred five million, forty-four thousand, three hundred twenty".