105060505500101 has 32 divisors (see below), whose sum is σ = 113681812608000. Its totient is φ = 96765628561920.

The previous prime is 105060505500077. The next prime is 105060505500113. The reversal of 105060505500101 is 101005505060501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105060505500101 - 2¹⁰ = 105060505499077 is a prime.

It is a super-2 number, since 2×105060505500101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105060505503101) 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, 444934796 + ... + 445170858.

It is an arithmetic number, because the mean of its divisors is an integer number (3552556644000).

Almost surely, 2^{105060505500101} is an apocalyptic number.

It is an amenable number.

105060505500101 is a deficient number, since it is larger than the sum of its proper divisors (8621307107899).

105060505500101 is a wasteful number, since it uses less digits than its factorization.

105060505500101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238109.

The product of its (nonzero) digits is 3750, while the sum is 29.

The spelling of 105060505500101 in words is "one hundred five trillion, sixty billion, five hundred five million, five hundred thousand, one hundred one".