105116605161 has 8 divisors (see below), whose sum is σ = 144676617984. Its totient is φ = 67817164560.

The previous prime is 105116605151. The next prime is 105116605183. The reversal of 105116605161 is 161506611501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105116605161 - 2¹¹ = 105116603113 is a prime.

It is a super-2 number, since 2×105116605161² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105116605151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 565142946 + ... + 565143131.

It is an arithmetic number, because the mean of its divisors is an integer number (18084577248).

Almost surely, 2^105116605161 is an apocalyptic number.

It is an amenable number.

105116605161 is a deficient number, since it is larger than the sum of its proper divisors (39560012823).

105116605161 is a wasteful number, since it uses less digits than its factorization.

105116605161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130286111.

The product of its (nonzero) digits is 5400, while the sum is 33.

The spelling of 105116605161 in words is "one hundred five billion, one hundred sixteen million, six hundred five thousand, one hundred sixty-one".