10105305444 has 192 divisors, whose sum is σ = 30239758080. Its totient is φ = 2890598400.

The previous prime is 10105305407. The next prime is 10105305487. The reversal of 10105305444 is 44450350101.

It is a happy number.

10105305444 is a `hidden beast` number, since 10 + 105 + 3 + 0 + 544 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1978494 + ... + 1983594.

It is an arithmetic number, because the mean of its divisors is an integer number (157498740).

Almost surely, 2^10105305444 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 10105305444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15119879040).

10105305444 is an abundant number, since it is smaller than the sum of its proper divisors (20134452636).

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

10105305444 is a wasteful number, since it uses less digits than its factorization.

10105305444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5227 (or 5219 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 10105305444 its reverse (44450350101), we get a palindrome (54555655545).

The spelling of 10105305444 in words is "ten billion, one hundred five million, three hundred five thousand, four hundred forty-four".