105010065065001 has 32 divisors (see below), whose sum is σ = 142287045811200. Its totient is φ = 68878941999296.

The previous prime is 105010065064997. The next prime is 105010065065047. The reversal of 105010065065001 is 100560560010501.

It is a cyclic number.

It is not a de Polignac number, because 105010065065001 - 2² = 105010065064997 is a prime.

It is a super-2 number, since 2×105010065065001² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105010065065001.

It is not an unprimeable number, because it can be changed into a prime (105010065066001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423975940 + ... + 424223546.

It is an arithmetic number, because the mean of its divisors is an integer number (4446470181600).

Almost surely, 2^{105010065065001} is an apocalyptic number.

It is an amenable number.

105010065065001 is a deficient number, since it is larger than the sum of its proper divisors (37276980746199).

105010065065001 is a wasteful number, since it uses less digits than its factorization.

105010065065001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256733.

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 105010065065001 in words is "one hundred five trillion, ten billion, sixty-five million, sixty-five thousand, one".