105687816 has 64 divisors (see below), whose sum is σ = 286708800. Its totient is φ = 32272128.

The previous prime is 105687809. The next prime is 105687833. The reversal of 105687816 is 618786501.

It is a super-2 number, since 2×105687816² = 22339828901699712, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42150 + ... + 44586.

It is an arithmetic number, because the mean of its divisors is an integer number (4479825).

Almost surely, 2^105687816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105687816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143354400).

105687816 is an abundant number, since it is smaller than the sum of its proper divisors (181020984).

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

105687816 is a wasteful number, since it uses less digits than its factorization.

105687816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598 (or 2594 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 105687816 is about 10280.4579664527. The cubic root of 105687816 is about 472.7972855511.

The spelling of 105687816 in words is "one hundred five million, six hundred eighty-seven thousand, eight hundred sixteen".