105001005060066 has 16 divisors (see below), whose sum is σ = 216776268511488. Its totient is φ = 33871291954800.

The previous prime is 105001005060037. The next prime is 105001005060137. The reversal of 105001005060066 is 660060500100501.

It is a super-2 number, since 2×105001005060066² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 282260766105 + ... + 282260766476.

It is an arithmetic number, because the mean of its divisors is an integer number (13548516781968).

Almost surely, 2^{105001005060066} is an apocalyptic number.

105001005060066 is an abundant number, since it is smaller than the sum of its proper divisors (111775263451422).

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

105001005060066 is a wasteful number, since it uses less digits than its factorization.

105001005060066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564521532617.

The product of its (nonzero) digits is 5400, while the sum is 30.

Adding to 105001005060066 its reverse (660060500100501), we get a palindrome (765061505160567).

The spelling of 105001005060066 in words is "one hundred five trillion, one billion, five million, sixty thousand, sixty-six".