105585133 has 8 divisors (see below), whose sum is σ = 106775552. Its totient is φ = 104400576.

The previous prime is 105585107. The next prime is 105585173. The reversal of 105585133 is 331585501.

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

It is a cyclic number.

It is not a de Polignac number, because 105585133 - 2¹³ = 105576941 is a prime.

It is a super-2 number, since 2×105585133² = 22296440621255378, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105585095 and 105585104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105585173) 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, 41566 + ... + 44032.

It is an arithmetic number, because the mean of its divisors is an integer number (13346944).

Almost surely, 2^105585133 is an apocalyptic number.

It is an amenable number.

105585133 is a deficient number, since it is larger than the sum of its proper divisors (1190419).

105585133 is a wasteful number, since it uses less digits than its factorization.

105585133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2931.

The product of its (nonzero) digits is 9000, while the sum is 31.

The square root of 105585133 is about 10275.4626659825. The cubic root of 105585133 is about 472.6441175491.

The spelling of 105585133 in words is "one hundred five million, five hundred eighty-five thousand, one hundred thirty-three".