10105609941 has 48 divisors (see below), whose sum is σ = 17238908544. Its totient is φ = 5583883392.

The previous prime is 10105609939. The next prime is 10105609963. The reversal of 10105609941 is 14990650101.

10105609941 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 5 + 609 + 9 + 41 = 666.

10105609941 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10105609941 - 2¹ = 10105609939 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10105609896 and 10105609905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105609441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 366655 + ... + 393251.

It is an arithmetic number, because the mean of its divisors is an integer number (359143928).

Almost surely, 2^10105609941 is an apocalyptic number.

It is an amenable number.

10105609941 is a deficient number, since it is larger than the sum of its proper divisors (7133298603).

10105609941 is a wasteful number, since it uses less digits than its factorization.

10105609941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26810 (or 26807 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 10105609941 in words is "ten billion, one hundred five million, six hundred nine thousand, nine hundred forty-one".