10724834434104 has 384 divisors, whose sum is σ = 36366461913600. Its totient is φ = 2892612280320.

The previous prime is 10724834434079. The next prime is 10724834434121. The reversal of 10724834434104 is 40143443842701.

10724834434104 is a `hidden beast` number, since 1 + 0 + 7 + 24 + 83 + 443 + 4 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10724834434104.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 72579304 + ... + 72726920.

It is an arithmetic number, because the mean of its divisors is an integer number (94704327900).

Almost surely, 2^{10724834434104} is an apocalyptic number.

10724834434104 is a gapful number since it is divisible by the number (14) 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 10724834434104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18183230956800).

10724834434104 is an abundant number, since it is smaller than the sum of its proper divisors (25641627479496).

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

10724834434104 is a wasteful number, since it uses less digits than its factorization.

10724834434104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147945 (or 147929 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 10724834434104 in words is "ten trillion, seven hundred twenty-four billion, eight hundred thirty-four million, four hundred thirty-four thousand, one hundred four".