105716908 has 48 divisors (see below), whose sum is σ = 207285120. Its totient is φ = 46771200.

The previous prime is 105716903. The next prime is 105716909. The reversal of 105716908 is 809617501.

It is a super-2 number, since 2×105716908² = 22352129274160928, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (105716903) 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, 500923 + ... + 501133.

It is an arithmetic number, because the mean of its divisors is an integer number (4318440).

Almost surely, 2^105716908 is an apocalyptic number.

It is an amenable number.

105716908 is a deficient number, since it is larger than the sum of its proper divisors (101568212).

105716908 is a wasteful number, since it uses less digits than its factorization.

105716908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 37.

The square root of 105716908 is about 10281.8727866085. The cubic root of 105716908 is about 472.8406628525.

The spelling of 105716908 in words is "one hundred five million, seven hundred sixteen thousand, nine hundred eight".