101105609 has 16 divisors (see below), whose sum is σ = 114260544. Its totient is φ = 88670400.

The previous prime is 101105597. The next prime is 101105617. The reversal of 101105609 is 906501101.

It is a cyclic number.

It is not a de Polignac number, because 101105609 - 2²⁰ = 100057033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101105009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34142 + ... + 36984.

It is an arithmetic number, because the mean of its divisors is an integer number (7141284).

Almost surely, 2^101105609 is an apocalyptic number.

It is an amenable number.

101105609 is a deficient number, since it is larger than the sum of its proper divisors (13154935).

101105609 is a wasteful number, since it uses less digits than its factorization.

101105609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2968.

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

The square root of 101105609 is about 10055.1284924659. The cubic root of 101105609 is about 465.8632117687.

The spelling of 101105609 in words is "one hundred one million, one hundred five thousand, six hundred nine".