10281906160 has 80 divisors (see below), whose sum is σ = 24188675040. Its totient is φ = 4064256000.

The previous prime is 10281906097. The next prime is 10281906161. The reversal of 10281906160 is 6160918201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10281906161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3424660 + ... + 3427660.

It is an arithmetic number, because the mean of its divisors is an integer number (302358438).

Almost surely, 2^10281906160 is an apocalyptic number.

10281906160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10281906160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12094337520).

10281906160 is an abundant number, since it is smaller than the sum of its proper divisors (13906768880).

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

10281906160 is a wasteful number, since it uses less digits than its factorization.

10281906160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3506 (or 3500 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The spelling of 10281906160 in words is "ten billion, two hundred eighty-one million, nine hundred six thousand, one hundred sixty".