105177045171 has 16 divisors (see below), whose sum is σ = 153580076928. Its totient is φ = 63495628800.

The previous prime is 105177045167. The next prime is 105177045199. The reversal of 105177045171 is 171540771501.

It is not a de Polignac number, because 105177045171 - 2² = 105177045167 is a prime.

It is a super-2 number, since 2×105177045171² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105177045101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6192265 + ... + 6209226.

It is an arithmetic number, because the mean of its divisors is an integer number (9598754808).

Almost surely, 2^105177045171 is an apocalyptic number.

105177045171 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105177045171 is a deficient number, since it is larger than the sum of its proper divisors (48403031757).

105177045171 is a wasteful number, since it uses less digits than its factorization.

105177045171 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12401762.

The product of its (nonzero) digits is 34300, while the sum is 39.

The spelling of 105177045171 in words is "one hundred five billion, one hundred seventy-seven million, forty-five thousand, one hundred seventy-one".