105095585141 has 16 divisors (see below), whose sum is σ = 111345014784. Its totient is φ = 98987329584.

The previous prime is 105095585123. The next prime is 105095585167. The reversal of 105095585141 is 141585590501.

It is a cyclic number.

It is not a de Polignac number, because 105095585141 - 2²⁶ = 105028476277 is a prime.

It is a super-2 number, since 2×105095585141² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105095585092 and 105095585101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105095585341) 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, 4437056 + ... + 4460678.

It is an arithmetic number, because the mean of its divisors is an integer number (6959063424).

Almost surely, 2^105095585141 is an apocalyptic number.

It is an amenable number.

105095585141 is a deficient number, since it is larger than the sum of its proper divisors (6249429643).

105095585141 is a wasteful number, since it uses less digits than its factorization.

105095585141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26600.

The product of its (nonzero) digits is 180000, while the sum is 44.

The spelling of 105095585141 in words is "one hundred five billion, ninety-five million, five hundred eighty-five thousand, one hundred forty-one".