105716733074320 has 80 divisors (see below), whose sum is σ = 246481407684720. Its totient is φ = 42168126873600.

The previous prime is 105716733074317. The next prime is 105716733074327. The reversal of 105716733074320 is 23470337617501.

It can be written as a sum of positive squares in 8 ways, for example, as 42386714418064 + 63330018656256 = 6510508^2 + 7958016^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105716733074320² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105716733074327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45933430 + ... + 48180010.

It is an arithmetic number, because the mean of its divisors is an integer number (3081017596059).

Almost surely, 2^{105716733074320} is an apocalyptic number.

105716733074320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105716733074320 is an abundant number, since it is smaller than the sum of its proper divisors (140764674610400).

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

105716733074320 is a wasteful number, since it uses less digits than its factorization.

105716733074320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248244 (or 2248238 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 49.

The spelling of 105716733074320 in words is "one hundred five trillion, seven hundred sixteen billion, seven hundred thirty-three million, seventy-four thousand, three hundred twenty".