10010031984 has 120 divisors (see below), whose sum is σ = 28605191472. Its totient is φ = 3266565120.

The previous prime is 10010031973. The next prime is 10010031989. The reversal of 10010031984 is 48913001001.

10010031984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010031989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4356724 + ... + 4359020.

Almost surely, 2^10010031984 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 10010031984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14302595736).

10010031984 is an abundant number, since it is smaller than the sum of its proper divisors (18595159488).

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

10010031984 is a wasteful number, since it uses less digits than its factorization.

10010031984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935 (or 2926 counting only the distinct ones).

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

Adding to 10010031984 its reverse (48913001001), we get a palindrome (58923032985).

The spelling of 10010031984 in words is "ten billion, ten million, thirty-one thousand, nine hundred eighty-four".