105727713 has 16 divisors (see below), whose sum is σ = 173502336. Its totient is φ = 55768320.

The previous prime is 105727691. The next prime is 105727753. The reversal of 105727713 is 317727501.

It is not a de Polignac number, because 105727713 - 2⁵ = 105727681 is a prime.

It is a super-2 number, since 2×105727713² = 22356698592420738, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105727753) 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 15 ways as a sum of consecutive naturals, for example, 193368 + ... + 193913.

It is an arithmetic number, because the mean of its divisors is an integer number (10843896).

Almost surely, 2^105727713 is an apocalyptic number.

105727713 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105727713 is a deficient number, since it is larger than the sum of its proper divisors (67774623).

105727713 is a wasteful number, since it uses less digits than its factorization.

105727713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387304.

The product of its (nonzero) digits is 10290, while the sum is 33.

The square root of 105727713 is about 10282.3982124794. The cubic root of 105727713 is about 472.8567715003.

The spelling of 105727713 in words is "one hundred five million, seven hundred twenty-seven thousand, seven hundred thirteen".