105288716 has 24 divisors (see below), whose sum is σ = 198713424. Its totient is φ = 48525120.

The previous prime is 105288683. The next prime is 105288719. The reversal of 105288716 is 617882501.

It is a super-2 number, since 2×105288716² = 22171427433857312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105288716.

It is not an unprimeable number, because it can be changed into a prime (105288719) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59606 + ... + 61346.

It is an arithmetic number, because the mean of its divisors is an integer number (8279726).

Almost surely, 2^105288716 is an apocalyptic number.

It is an amenable number.

105288716 is a deficient number, since it is larger than the sum of its proper divisors (93424708).

105288716 is a wasteful number, since it uses less digits than its factorization.

105288716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2921 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 38.

The square root of 105288716 is about 10261.0289932345. The cubic root of 105288716 is about 472.2014066724.

The spelling of 105288716 in words is "one hundred five million, two hundred eighty-eight thousand, seven hundred sixteen".