105661175136 has 96 divisors (see below), whose sum is σ = 304885316736. Its totient is φ = 31774080000.

The previous prime is 105661175119. The next prime is 105661175159. The reversal of 105661175136 is 631571166501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105661175136² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 243565 + ... + 520236.

It is an arithmetic number, because the mean of its divisors is an integer number (3175888716).

Almost surely, 2^105661175136 is an apocalyptic number.

105661175136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105661175136 is an abundant number, since it is smaller than the sum of its proper divisors (199224141600).

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

105661175136 is a wasteful number, since it uses less digits than its factorization.

105661175136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763956 (or 763948 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 42.

The spelling of 105661175136 in words is "one hundred five billion, six hundred sixty-one million, one hundred seventy-five thousand, one hundred thirty-six".