10102031984 has 80 divisors (see below), whose sum is σ = 21960094464. Its totient is φ = 4461964800.

The previous prime is 10102031983. The next prime is 10102032001. The reversal of 10102031984 is 48913020101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102031983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1895147 + ... + 1900469.

Almost surely, 2^10102031984 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 10102031984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10980047232).

10102031984 is an abundant number, since it is smaller than the sum of its proper divisors (11858062480).

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

10102031984 is a wasteful number, since it uses less digits than its factorization.

10102031984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5646 (or 5640 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The spelling of 10102031984 in words is "ten billion, one hundred two million, thirty-one thousand, nine hundred eighty-four".