10509984 has 36 divisors (see below), whose sum is σ = 29888586. Its totient is φ = 3503232.

The previous prime is 10509979. The next prime is 10509991. The reversal of 10509984 is 48990501.

It can be written as a sum of positive squares in only one way, i.e., 10419984 + 90000 = 3228^2 + 300^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10509984² = 220919527360512, which contains 22 as substring.

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

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, 17959 + ... + 18534.

Almost surely, 2^10509984 is an apocalyptic number.

It is an amenable number.

10509984 is an abundant number, since it is smaller than the sum of its proper divisors (19378602).

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

10509984 is a wasteful number, since it uses less digits than its factorization.

10509984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36509 (or 36498 counting only the distinct ones).

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

The square root of 10509984 is about 3241.9105478097. The cubic root of 10509984 is about 219.0453399589.

The spelling of 10509984 in words is "ten million, five hundred nine thousand, nine hundred eighty-four".