105005006101061 has 8 divisors (see below), whose sum is σ = 115093811084448. Its totient is φ = 95006683674000.

The previous prime is 105005006101019. The next prime is 105005006101069. The reversal of 105005006101061 is 160101600500501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105005006101061 - 2¹⁴ = 105005006084677 is a prime.

It is a super-2 number, since 2×105005006101061² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105005006101061.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105005006101069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22620636650 + ... + 22620641291.

It is an arithmetic number, because the mean of its divisors is an integer number (14386726385556).

Almost surely, 2^{105005006101061} is an apocalyptic number.

105005006101061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105005006101061 is a deficient number, since it is larger than the sum of its proper divisors (10088804983387).

105005006101061 is a wasteful number, since it uses less digits than its factorization.

105005006101061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45241278163.

The product of its (nonzero) digits is 900, while the sum is 26.

Adding to 105005006101061 its reverse (160101600500501), we get a palindrome (265106606601562).

The spelling of 105005006101061 in words is "one hundred five trillion, five billion, six million, one hundred one thousand, sixty-one".