10110445344 has 36 divisors (see below), whose sum is σ = 28751579766. Its totient is φ = 3370148352.

The previous prime is 10110445333. The next prime is 10110445349. The reversal of 10110445344 is 44354401101.

10110445344 is a `hidden beast` number, since 10 + 110 + 4 + 4 + 534 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8682512400 + 1427932944 = 93180^2 + 37788^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10110445344² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10110445349) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 17552569 + ... + 17553144.

Almost surely, 2^10110445344 is an apocalyptic number.

It is an amenable number.

10110445344 is an abundant number, since it is smaller than the sum of its proper divisors (18641134422).

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

10110445344 is a wasteful number, since it uses less digits than its factorization.

10110445344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35105729 (or 35105718 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 10110445344 its reverse (44354401101), we get a palindrome (54464846445).

The spelling of 10110445344 in words is "ten billion, one hundred ten million, four hundred forty-five thousand, three hundred forty-four".