105005001055101 has 16 divisors (see below), whose sum is σ = 160436595521664. Its totient is φ = 59841992170944.

The previous prime is 105005001055079. The next prime is 105005001055111. The reversal of 105005001055101 is 101550100500501.

It is not a de Polignac number, because 105005001055101 - 2¹³ = 105005001046909 is a prime.

It is a super-2 number, since 2×105005001055101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105005001055111) 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, 6702724266 + ... + 6702739931.

It is an arithmetic number, because the mean of its divisors is an integer number (10027287220104).

Almost surely, 2^{105005001055101} is an apocalyptic number.

It is an amenable number.

105005001055101 is a deficient number, since it is larger than the sum of its proper divisors (55431594466563).

105005001055101 is a wasteful number, since it uses less digits than its factorization.

105005001055101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13405464580.

The product of its (nonzero) digits is 625, while the sum is 24.

Adding to 105005001055101 its reverse (101550100500501), we get a palindrome (206555101555602).

The spelling of 105005001055101 in words is "one hundred five trillion, five billion, one million, fifty-five thousand, one hundred one".