105679684 has 24 divisors (see below), whose sum is σ = 213621408. Its totient is φ = 45210240.

The previous prime is 105679669. The next prime is 105679697. The reversal of 105679684 is 486976501.

It is a super-2 number, since 2×105679684² = 22336391220679712, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 69894 + ... + 71389.

It is an arithmetic number, because the mean of its divisors is an integer number (8900892).

Almost surely, 2^105679684 is an apocalyptic number.

It is an amenable number.

105679684 is an abundant number, since it is smaller than the sum of its proper divisors (107941724).

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

105679684 is a wasteful number, since it uses less digits than its factorization.

105679684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141315 (or 141313 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 105679684 is about 10280.0624511722. The cubic root of 105679684 is about 472.7851589998.

The spelling of 105679684 in words is "one hundred five million, six hundred seventy-nine thousand, six hundred eighty-four".