105009984 has 42 divisors (see below), whose sum is σ = 300993810. Its totient is φ = 35003136.

The previous prime is 105009953. The next prime is 105009991. The reversal of 105009984 is 489900501.

It can be written as a sum of positive squares in only one way, i.e., 102576384 + 2433600 = 10128^2 + 1560^2 .

It is a super-2 number, since 2×105009984² = 22054193479360512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 90579 + ... + 91730.

Almost surely, 2^105009984 is an apocalyptic number.

It is an amenable number.

105009984 is an abundant number, since it is smaller than the sum of its proper divisors (195983826).

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

105009984 is a wasteful number, since it uses less digits than its factorization.

105009984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182327 (or 182314 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 105009984 is about 10247.4379236959. The cubic root of 105009984 is about 471.7843504011.

The spelling of 105009984 in words is "one hundred five million, nine thousand, nine hundred eighty-four".