105961727752 has 16 divisors (see below), whose sum is σ = 198840709440. Its totient is φ = 52937538576.

The previous prime is 105961727731. The next prime is 105961727783. The reversal of 105961727752 is 257727169501.

It is a super-2 number, since 2×105961727752² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105961727752.

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 3 ways as a sum of consecutive naturals, for example, 5405268 + ... + 5424835.

It is an arithmetic number, because the mean of its divisors is an integer number (12427544340).

Almost surely, 2^105961727752 is an apocalyptic number.

It is an amenable number.

105961727752 is a deficient number, since it is larger than the sum of its proper divisors (92878981688).

105961727752 is a wasteful number, since it uses less digits than its factorization.

105961727752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10831332 (or 10831328 counting only the distinct ones).

The product of its (nonzero) digits is 1852200, while the sum is 52.

The spelling of 105961727752 in words is "one hundred five billion, nine hundred sixty-one million, seven hundred twenty-seven thousand, seven hundred fifty-two".