105735909 has 4 divisors (see below), whose sum is σ = 140981216. Its totient is φ = 70490604.

The previous prime is 105735887. The next prime is 105735953. The reversal of 105735909 is 909537501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 105735909 - 2²³ = 97347301 is a prime.

It is a super-2 number, since 2×105735909² = 22360164904112562, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105735109) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17622649 + ... + 17622654.

It is an arithmetic number, because the mean of its divisors is an integer number (35245304).

Almost surely, 2^105735909 is an apocalyptic number.

It is an amenable number.

105735909 is a deficient number, since it is larger than the sum of its proper divisors (35245307).

105735909 is an equidigital number, since it uses as much as digits as its factorization.

105735909 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35245306.

The product of its (nonzero) digits is 42525, while the sum is 39.

The square root of 105735909 is about 10282.7967499120. The cubic root of 105735909 is about 472.8689897852.

The spelling of 105735909 in words is "one hundred five million, seven hundred thirty-five thousand, nine hundred nine".