105582921 has 12 divisors (see below), whose sum is σ = 141607152. Its totient is φ = 69975928.

The previous prime is 105582901. The next prime is 105582929. The reversal of 105582921 is 129285501.

It is not a de Polignac number, because 105582921 - 2¹⁹ = 105058633 is a prime.

It is a super-2 number, since 2×105582921² = 22295506413784482, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105582929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154246 + ... + 154928.

It is an arithmetic number, because the mean of its divisors is an integer number (11800596).

Almost surely, 2^105582921 is an apocalyptic number.

It is an amenable number.

105582921 is a deficient number, since it is larger than the sum of its proper divisors (36024231).

105582921 is an frugal number, since it uses more digits than its factorization.

105582921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The square root of 105582921 is about 10275.3550303627. The cubic root of 105582921 is about 472.6408169074.

The spelling of 105582921 in words is "one hundred five million, five hundred eighty-two thousand, nine hundred twenty-one".