105155160066 has 64 divisors (see below), whose sum is σ = 254959954560. Its totient is φ = 31860406080.

The previous prime is 105155160049. The next prime is 105155160073. The reversal of 105155160066 is 660061551501.

It is a super-2 number, since 2×105155160066² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105155160066.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7570720 + ... + 7584596.

It is an arithmetic number, because the mean of its divisors is an integer number (3983749290).

Almost surely, 2^105155160066 is an apocalyptic number.

105155160066 is an abundant number, since it is smaller than the sum of its proper divisors (149804794494).

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

105155160066 is a wasteful number, since it uses less digits than its factorization.

105155160066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26656 (or 26650 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 105155160066 in words is "one hundred five billion, one hundred fifty-five million, one hundred sixty thousand, sixty-six".