10384105776 has 120 divisors (see below), whose sum is σ = 30172443840. Its totient is φ = 3073445760.

The previous prime is 10384105763. The next prime is 10384105807. The reversal of 10384105776 is 67750148301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228955 + ... + 270533.

It is an arithmetic number, because the mean of its divisors is an integer number (251437032).

Almost surely, 2^10384105776 is an apocalyptic number.

10384105776 is a gapful number since it is divisible by the number (16) 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 10384105776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15086221920).

10384105776 is an abundant number, since it is smaller than the sum of its proper divisors (19788338064).

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

10384105776 is a wasteful number, since it uses less digits than its factorization.

10384105776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41655 (or 41638 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 10384105776 in words is "ten billion, three hundred eighty-four million, one hundred five thousand, seven hundred seventy-six".