105116713 has 8 divisors (see below), whose sum is σ = 113400000. Its totient is φ = 96861648.

The previous prime is 105116699. The next prime is 105116731. The reversal of 105116713 is 317611501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-105116713 is a prime.

It is a super-2 number, since 2×105116713² = 22099046703848738, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105116773) 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, 1038 + ... + 14536.

It is an arithmetic number, because the mean of its divisors is an integer number (14175000).

Almost surely, 2^105116713 is an apocalyptic number.

105116713 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105116713 is a deficient number, since it is larger than the sum of its proper divisors (8283287).

105116713 is a wasteful number, since it uses less digits than its factorization.

105116713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14111.

The product of its (nonzero) digits is 630, while the sum is 25.

The square root of 105116713 is about 10252.6441955234. The cubic root of 105116713 is about 471.9441321048.

The spelling of 105116713 in words is "one hundred five million, one hundred sixteen thousand, seven hundred thirteen".