105716721 has 16 divisors (see below), whose sum is σ = 156293568. Its totient is φ = 63019200.

The previous prime is 105716713. The next prime is 105716729. The reversal of 105716721 is 127617501.

It is an interprime number because it is at equal distance from previous prime (105716713) and next prime (105716729).

It is not a de Polignac number, because 105716721 - 2³ = 105716713 is a prime.

It is a super-2 number, since 2×105716721² = 22352050197983682, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105716729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24246 + ... + 28271.

It is an arithmetic number, because the mean of its divisors is an integer number (9768348).

Almost surely, 2^105716721 is an apocalyptic number.

105716721 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105716721 is a deficient number, since it is larger than the sum of its proper divisors (50576847).

105716721 is a wasteful number, since it uses less digits than its factorization.

105716721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52592.

The product of its (nonzero) digits is 2940, while the sum is 30.

The square root of 105716721 is about 10281.8636929304. The cubic root of 105716721 is about 472.8403840537.

The spelling of 105716721 in words is "one hundred five million, seven hundred sixteen thousand, seven hundred twenty-one".