105716946 has 8 divisors (see below), whose sum is σ = 211433904. Its totient is φ = 35238980.

The previous prime is 105716917. The next prime is 105716951. The reversal of 105716946 is 649617501.

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

105716946 is an admirable number.

It is a super-3 number, since 3×105716946³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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, 8809740 + ... + 8809751.

It is an arithmetic number, because the mean of its divisors is an integer number (26429238).

Almost surely, 2^105716946 is an apocalyptic number.

105716946 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105716946 is a wasteful number, since it uses less digits than its factorization.

105716946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17619496.

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 105716946 is about 10281.8746345207. The cubic root of 105716946 is about 472.8407195068.

The spelling of 105716946 in words is "one hundred five million, seven hundred sixteen thousand, nine hundred forty-six".