105542235117 has 60 divisors (see below), whose sum is σ = 177982078428. Its totient is φ = 62235993600.

The previous prime is 105542235041. The next prime is 105542235119. The reversal of 105542235117 is 711532245501.

105542235117 is a `hidden beast` number, since 105 + 542 + 2 + 3 + 5 + 1 + 1 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 87387636996 + 18154598121 = 295614^2 + 134739^2 .

It is not a de Polignac number, because 105542235117 - 2⁷ = 105542234989 is a prime.

It is a super-2 number, since 2×105542235117² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105542235119) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 217117 + ... + 508157.

Almost surely, 2^105542235117 is an apocalyptic number.

It is an amenable number.

105542235117 is a deficient number, since it is larger than the sum of its proper divisors (72439843311).

105542235117 is a wasteful number, since it uses less digits than its factorization.

105542235117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291112 (or 291092 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 105542235117 in words is "one hundred five billion, five hundred forty-two million, two hundred thirty-five thousand, one hundred seventeen".