105605521 has 8 divisors (see below), whose sum is σ = 122969664. Its totient is φ = 88810800.

The previous prime is 105605503. The next prime is 105605537. The reversal of 105605521 is 125506501.

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 105605521 - 2⁹ = 105605009 is a prime.

It is a super-3 number, since 3×105605521³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105605551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141955 + ... + 142696.

It is an arithmetic number, because the mean of its divisors is an integer number (15371208).

Almost surely, 2^105605521 is an apocalyptic number.

It is an amenable number.

105605521 is a deficient number, since it is larger than the sum of its proper divisors (17364143).

105605521 is an equidigital number, since it uses as much as digits as its factorization.

105605521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284711.

The product of its (nonzero) digits is 1500, while the sum is 25.

The square root of 105605521 is about 10276.4546902130. The cubic root of 105605521 is about 472.6745373877.

The spelling of 105605521 in words is "one hundred five million, six hundred five thousand, five hundred twenty-one".