105509117 has 8 divisors (see below), whose sum is σ = 121649856. Its totient is φ = 89635392.

The previous prime is 105509087. The next prime is 105509149. The reversal of 105509117 is 711905501.

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

It is not a de Polignac number, because 105509117 - 2⁸ = 105508861 is a prime.

It is a super-2 number, since 2×105509117² = 22264347540239378, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105509117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105509177) 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, 65903 + ... + 67484.

It is an arithmetic number, because the mean of its divisors is an integer number (15206232).

Almost surely, 2^105509117 is an apocalyptic number.

It is an amenable number.

105509117 is a deficient number, since it is larger than the sum of its proper divisors (16140739).

105509117 is a wasteful number, since it uses less digits than its factorization.

105509117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133507.

The product of its (nonzero) digits is 1575, while the sum is 29.

The square root of 105509117 is about 10271.7630911154. The cubic root of 105509117 is about 472.5306636315.

The spelling of 105509117 in words is "one hundred five million, five hundred nine thousand, one hundred seventeen".