105623984 has 20 divisors (see below), whose sum is σ = 204957120. Its totient is φ = 52731840.

The previous prime is 105623977. The next prime is 105624007. The reversal of 105623984 is 489326501.

It is a happy number.

It is a super-2 number, since 2×105623984² = 22312851992064512, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) 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 (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6689 + ... + 15999.

It is an arithmetic number, because the mean of its divisors is an integer number (10247856).

Almost surely, 2^105623984 is an apocalyptic number.

It is an amenable number.

105623984 is a deficient number, since it is larger than the sum of its proper divisors (99333136).

105623984 is an equidigital number, since it uses as much as digits as its factorization.

105623984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10028 (or 10022 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 105623984 is about 10277.3529665960. The cubic root of 105623984 is about 472.7020816592.

The spelling of 105623984 in words is "one hundred five million, six hundred twenty-three thousand, nine hundred eighty-four".