10131984 has 60 divisors (see below), whose sum is σ = 28783872. Its totient is φ = 3326400.

The previous prime is 10131973. The next prime is 10132013. The reversal of 10131984 is 48913101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9729 + ... + 10719.

Almost surely, 2^10131984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14391936).

10131984 is an abundant number, since it is smaller than the sum of its proper divisors (18651888).

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

10131984 is a wasteful number, since it uses less digits than its factorization.

10131984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 10131984 is about 3183.0777558834. The cubic root of 10131984 is about 216.3871656988.

The spelling of 10131984 in words is "ten million, one hundred thirty-one thousand, nine hundred eighty-four".