105704652816 has 120 divisors (see below), whose sum is σ = 339373457280. Its totient is φ = 30086419968.

The previous prime is 105704652793. The next prime is 105704652847. The reversal of 105704652816 is 618256407501.

105704652816 is a `hidden beast` number, since 1 + 0 + 5 + 70 + 46 + 528 + 16 = 666.

105704652816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105704652816² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 65740 + ... + 464468.

It is an arithmetic number, because the mean of its divisors is an integer number (2828112144).

Almost surely, 2^105704652816 is an apocalyptic number.

105704652816 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 105704652816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169686728640).

105704652816 is an abundant number, since it is smaller than the sum of its proper divisors (233668804464).

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

105704652816 is a wasteful number, since it uses less digits than its factorization.

105704652816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399013 (or 399004 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 105704652816 in words is "one hundred five billion, seven hundred four million, six hundred fifty-two thousand, eight hundred sixteen".