10105687839384 has 320 divisors, whose sum is σ = 30186136780800. Its totient is φ = 3149642797056.

The previous prime is 10105687839371. The next prime is 10105687839389. The reversal of 10105687839384 is 48393878650101.

10105687839384 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 568 + 7 + 8 + 39 + 38 + 4 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105687839389) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 301762689 + ... + 301796175.

It is an arithmetic number, because the mean of its divisors is an integer number (94331677440).

Almost surely, 2^{10105687839384} 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 10105687839384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15093068390400).

10105687839384 is an abundant number, since it is smaller than the sum of its proper divisors (20080448941416).

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

10105687839384 is a wasteful number, since it uses less digits than its factorization.

10105687839384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33844 (or 33831 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 10105687839384 in words is "ten trillion, one hundred five billion, six hundred eighty-seven million, eight hundred thirty-nine thousand, three hundred eighty-four".