10105444544 has 56 divisors (see below), whose sum is σ = 21643195728. Its totient is φ = 4653757440.

The previous prime is 10105444543. The next prime is 10105444561. The reversal of 10105444544 is 44544450101.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 10105444544.

It is not an unprimeable number, because it can be changed into a prime (10105444543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 370379 + ... + 396725.

It is an arithmetic number, because the mean of its divisors is an integer number (386485638).

Almost surely, 2^10105444544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10105444544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10821597864).

10105444544 is an abundant number, since it is smaller than the sum of its proper divisors (11537751184).

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

10105444544 is a wasteful number, since it uses less digits than its factorization.

10105444544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26833 (or 26823 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

Adding to 10105444544 its reverse (44544450101), we get a palindrome (54649894645).

The spelling of 10105444544 in words is "ten billion, one hundred five million, four hundred forty-four thousand, five hundred forty-four".