105001056010061 has 8 divisors (see below), whose sum is σ = 105194064831360. Its totient is φ = 104808051024768.

The previous prime is 105001056010049. The next prime is 105001056010129. The reversal of 105001056010061 is 160010650100501.

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 105001056010061 - 2¹⁰ = 105001056009037 is a prime.

It is a super-2 number, since 2×105001056010061² (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 105001056010061.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105001056010001) 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, 57058205 + ... + 58869693.

It is an arithmetic number, because the mean of its divisors is an integer number (13149258103920).

Almost surely, 2^{105001056010061} is an apocalyptic number.

It is an amenable number.

105001056010061 is a deficient number, since it is larger than the sum of its proper divisors (193008821299).

105001056010061 is a wasteful number, since it uses less digits than its factorization.

105001056010061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918003.

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

The spelling of 105001056010061 in words is "one hundred five trillion, one billion, fifty-six million, ten thousand, sixty-one".