105005051001 has 16 divisors (see below), whose sum is σ = 155568406720. Its totient is φ = 70000951680.

The previous prime is 105005050991. The next prime is 105005051029. The reversal of 105005051001 is 100150500501.

105005051001 is a `hidden beast` number, since 10 + 50 + 0 + 505 + 100 + 1 = 666.

It is not a de Polignac number, because 105005051001 - 2²¹ = 105002953849 is a prime.

It is a super-2 number, since 2×105005051001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105005051101) 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, 1097001 + ... + 1188873.

It is an arithmetic number, because the mean of its divisors is an integer number (9723025420).

Almost surely, 2^105005051001 is an apocalyptic number.

It is an amenable number.

105005051001 is a deficient number, since it is larger than the sum of its proper divisors (50563355719).

105005051001 is an equidigital number, since it uses as much as digits as its factorization.

105005051001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134213 (or 134207 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

Adding to 105005051001 its reverse (100150500501), we get a palindrome (205155551502).

The spelling of 105005051001 in words is "one hundred five billion, five million, fifty-one thousand, one".