105663684 has 48 divisors (see below), whose sum is σ = 282598400. Its totient is φ = 30100896.

The previous prime is 105663673. The next prime is 105663703. The reversal of 105663684 is 486366501.

It is a super-2 number, since 2×105663684² = 22329628232903712, 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 15 ways as a sum of consecutive naturals, for example, 30177 + ... + 33495.

Almost surely, 2^105663684 is an apocalyptic number.

105663684 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105663684 is an abundant number, since it is smaller than the sum of its proper divisors (176934716).

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

105663684 is a wasteful number, since it uses less digits than its factorization.

105663684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3712 (or 3710 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 105663684 is about 10279.2842163256. The cubic root of 105663684 is about 472.7612977616.

The spelling of 105663684 in words is "one hundred five million, six hundred sixty-three thousand, six hundred eighty-four".