105728617 has 4 divisors (see below), whose sum is σ = 105753600. Its totient is φ = 105703636.

The previous prime is 105728611. The next prime is 105728629. The reversal of 105728617 is 716827501.

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 a cyclic number.

It is not a de Polignac number, because 105728617 - 2¹⁹ = 105204329 is a prime.

It is a super-3 number, since 3×105728617³ (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 (105728611) 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 3 ways as a sum of consecutive naturals, for example, 4393 + ... + 15190.

It is an arithmetic number, because the mean of its divisors is an integer number (26438400).

Almost surely, 2^105728617 is an apocalyptic number.

It is an amenable number.

105728617 is a deficient number, since it is larger than the sum of its proper divisors (24983).

105728617 is an equidigital number, since it uses as much as digits as its factorization.

105728617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24982.

The product of its (nonzero) digits is 23520, while the sum is 37.

The square root of 105728617 is about 10282.4421710020. The cubic root of 105728617 is about 472.8581191801.

The spelling of 105728617 in words is "one hundred five million, seven hundred twenty-eight thousand, six hundred seventeen".