10105270944 has 96 divisors (see below), whose sum is σ = 26761996800. Its totient is φ = 3338641152.

The previous prime is 10105270939. The next prime is 10105270969. The reversal of 10105270944 is 44907250101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10105270944² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5864067 + ... + 5865789.

It is an arithmetic number, because the mean of its divisors is an integer number (278770800).

Almost surely, 2^10105270944 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 10105270944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13380998400).

10105270944 is an abundant number, since it is smaller than the sum of its proper divisors (16656725856).

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

10105270944 is a wasteful number, since it uses less digits than its factorization.

10105270944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 10105270944 in words is "ten billion, one hundred five million, two hundred seventy thousand, nine hundred forty-four".