105116055560164 has 24 divisors (see below), whose sum is σ = 212480582898528. Its totient is φ = 44969435533440.

The previous prime is 105116055560143. The next prime is 105116055560167. The reversal of 105116055560164 is 461065550611501.

It is a super-2 number, since 2×105116055560164² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105116055560167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70264742274 + ... + 70264743769.

It is an arithmetic number, because the mean of its divisors is an integer number (8853357620772).

Almost surely, 2^{105116055560164} is an apocalyptic number.

It is an amenable number.

105116055560164 is an abundant number, since it is smaller than the sum of its proper divisors (107364527338364).

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

105116055560164 is a wasteful number, since it uses less digits than its factorization.

105116055560164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140529486075 (or 140529486073 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 46.

The spelling of 105116055560164 in words is "one hundred five trillion, one hundred sixteen billion, fifty-five million, five hundred sixty thousand, one hundred sixty-four".