105123984 has 160 divisors (see below), whose sum is σ = 330645504. Its totient is φ = 28131840.

The previous prime is 105123943. The next prime is 105124001. The reversal of 105123984 is 489321501.

It is a super-2 number, since 2×105123984² = 22102104024064512, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 471297 + ... + 471519.

Almost surely, 2^105123984 is an apocalyptic number.

105123984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105123984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165322752).

105123984 is an abundant number, since it is smaller than the sum of its proper divisors (225521520).

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

105123984 is a wasteful number, since it uses less digits than its factorization.

105123984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 105123984 is about 10252.9987808446. The cubic root of 105123984 is about 471.9550134277.

The spelling of 105123984 in words is "one hundred five million, one hundred twenty-three thousand, nine hundred eighty-four".