105957609 has 8 divisors (see below), whose sum is σ = 141519840. Its totient is φ = 70516896.

The previous prime is 105957589. The next prime is 105957611. The reversal of 105957609 is 906759501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105957609 - 2¹¹ = 105955561 is a prime.

It is a super-2 number, since 2×105957609² = 22454029809993762, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105957629) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28324 + ... + 31845.

It is an arithmetic number, because the mean of its divisors is an integer number (17689980).

Almost surely, 2^105957609 is an apocalyptic number.

It is an amenable number.

105957609 is a deficient number, since it is larger than the sum of its proper divisors (35562231).

105957609 is an equidigital number, since it uses as much as digits as its factorization.

105957609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60759.

The product of its (nonzero) digits is 85050, while the sum is 42.

The square root of 105957609 is about 10293.5712461711. The cubic root of 105957609 is about 473.1992524522.

The spelling of 105957609 in words is "one hundred five million, nine hundred fifty-seven thousand, six hundred nine".