10100105609 has 16 divisors (see below), whose sum is σ = 11121624000. Its totient is φ = 9096198720.

The previous prime is 10100105597. The next prime is 10100105627. The reversal of 10100105609 is 90650100101.

It is a cyclic number.

It is not a de Polignac number, because 10100105609 - 2⁴ = 10100105593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100105689) 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 15 ways as a sum of consecutive naturals, for example, 520127 + ... + 539195.

It is an arithmetic number, because the mean of its divisors is an integer number (695101500).

Almost surely, 2^10100105609 is an apocalyptic number.

It is an amenable number.

10100105609 is a deficient number, since it is larger than the sum of its proper divisors (1021518391).

10100105609 is a wasteful number, since it uses less digits than its factorization.

10100105609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19528.

The product of its (nonzero) digits is 270, while the sum is 23.

The spelling of 10100105609 in words is "ten billion, one hundred million, one hundred five thousand, six hundred nine".