10281431016 has 96 divisors (see below), whose sum is σ = 28867737600. Its totient is φ = 3301845120.

The previous prime is 10281431009. The next prime is 10281431023. The reversal of 10281431016 is 61013418201.

It is a happy number.

10281431016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10281431009) and next prime (10281431023).

It is an unprimeable number.

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, 1011801 + ... + 1021911.

It is an arithmetic number, because the mean of its divisors is an integer number (300705600).

Almost surely, 2^10281431016 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 10281431016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14433868800).

10281431016 is an abundant number, since it is smaller than the sum of its proper divisors (18586306584).

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

10281431016 is a wasteful number, since it uses less digits than its factorization.

10281431016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10639 (or 10632 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 10281431016 its reverse (61013418201), we get a palindrome (71294849217).

The spelling of 10281431016 in words is "ten billion, two hundred eighty-one million, four hundred thirty-one thousand, sixteen".