10113641105 has 32 divisors (see below), whose sum is σ = 13351197600. Its totient is φ = 7320420352.

The previous prime is 10113641099. The next prime is 10113641123. The reversal of 10113641105 is 50114631101.

It is a happy number.

10113641105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 1105163536 + 9008477569 = 33244^2 + 94913^2 .

It is not a de Polignac number, because 10113641105 - 2²² = 10109446801 is a prime.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 565541 + ... + 583149.

It is an arithmetic number, because the mean of its divisors is an integer number (417224925).

Almost surely, 2^10113641105 is an apocalyptic number.

It is an amenable number.

10113641105 is a deficient number, since it is larger than the sum of its proper divisors (3237556495).

10113641105 is a wasteful number, since it uses less digits than its factorization.

10113641105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17893.

The product of its (nonzero) digits is 360, while the sum is 23.

It can be divided in two parts, 101136 and 41105, that added together give a palindrome (142241).

The spelling of 10113641105 in words is "ten billion, one hundred thirteen million, six hundred forty-one thousand, one hundred five".