10084961376 has 120 divisors (see below), whose sum is σ = 33896736720. Its totient is φ = 2881412352.

The previous prime is 10084961371. The next prime is 10084961387. The reversal of 10084961376 is 67316948001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10084961371) 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 19 ways as a sum of consecutive naturals, for example, 259771 + ... + 296058.

It is an arithmetic number, because the mean of its divisors is an integer number (282472806).

Almost surely, 2^10084961376 is an apocalyptic number.

10084961376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10084961376 is an abundant number, since it is smaller than the sum of its proper divisors (23811775344).

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

10084961376 is an equidigital number, since it uses as much as digits as its factorization.

10084961376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555858 (or 555841 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10084961376 in words is "ten billion, eighty-four million, nine hundred sixty-one thousand, three hundred seventy-six".