128163540105 has 24 divisors (see below), whose sum is σ = 222158538888. Its totient is φ = 68351302656.

The previous prime is 128163540097. The next prime is 128163540119. The reversal of 128163540105 is 501045361821.

128163540105 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 6 + 3 + 540 + 105 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11871627849 + 116291912256 = 108957^2 + 341016^2 .

It is not a de Polignac number, because 128163540105 - 2³ = 128163540097 is a prime.

It is a super-2 number, since 2×128163540105² (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 128163540105.

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 23 ways as a sum of consecutive naturals, for example, 2065209 + ... + 2126361.

It is an arithmetic number, because the mean of its divisors is an integer number (9256605787).

Almost surely, 2^128163540105 is an apocalyptic number.

128163540105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

128163540105 is a deficient number, since it is larger than the sum of its proper divisors (93994998783).

128163540105 is a wasteful number, since it uses less digits than its factorization.

128163540105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107737 (or 107734 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 128163540105 in words is "one hundred twenty-eight billion, one hundred sixty-three million, five hundred forty thousand, one hundred five".