105760306728 has 48 divisors (see below), whose sum is σ = 286521112800. Its totient is φ = 35242734240.

The previous prime is 105760306711. The next prime is 105760306759. The reversal of 105760306728 is 827603067501.

105760306728 is a `hidden beast` number, since 1 + 0 + 576 + 0 + 3 + 0 + 6 + 72 + 8 = 666.

It is a super-2 number, since 2×105760306728² (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 (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17683 + ... + 460253.

It is an arithmetic number, because the mean of its divisors is an integer number (5969189850).

Almost surely, 2^105760306728 is an apocalyptic number.

105760306728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105760306728 is an abundant number, since it is smaller than the sum of its proper divisors (180760806072).

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

105760306728 is a wasteful number, since it uses less digits than its factorization.

105760306728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445902 (or 445895 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 105760306728 in words is "one hundred five billion, seven hundred sixty million, three hundred six thousand, seven hundred twenty-eight".