105001000061085 has 24 divisors (see below), whose sum is σ = 182036486899800. Its totient is φ = 55989839993472.

The previous prime is 105001000061059. The next prime is 105001000061101. The reversal of 105001000061085 is 580160000100501.

105001000061085 is a `hidden beast` number, since 10 + 500 + 10 + 0 + 0 + 0 + 61 + 0 + 85 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13011935126436 + 91989064934649 = 3607206^2 + 9591093^2 .

It is not a de Polignac number, because 105001000061085 - 2⁹ = 105001000060573 is a prime.

It is a super-3 number, since 3×105001000061085³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222540310 + ... + 223011639.

It is an arithmetic number, because the mean of its divisors is an integer number (7584853620825).

Almost surely, 2^{105001000061085} is an apocalyptic number.

105001000061085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105001000061085 is a deficient number, since it is larger than the sum of its proper divisors (77035486838715).

105001000061085 is a wasteful number, since it uses less digits than its factorization.

105001000061085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445557197 (or 445557194 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

Adding to 105001000061085 its reverse (580160000100501), we get a palindrome (685161000161586).

The spelling of 105001000061085 in words is "one hundred five trillion, one billion, sixty-one thousand, eighty-five".