105051006056011 has 16 divisors (see below), whose sum is σ = 107745576452928. Its totient is φ = 102382869888000.

The previous prime is 105051006055987. The next prime is 105051006056021. The reversal of 105051006056011 is 110650600150501.

It is a cyclic number.

It is not a de Polignac number, because 105051006056011 - 2¹⁹ = 105051005531723 is a prime.

It is a super-2 number, since 2×105051006056011² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105051006056021) 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, 254425171 + ... + 254837731.

It is an arithmetic number, because the mean of its divisors is an integer number (6734098528308).

Almost surely, 2^{105051006056011} is an apocalyptic number.

105051006056011 is a deficient number, since it is larger than the sum of its proper divisors (2694570396917).

105051006056011 is a wasteful number, since it uses less digits than its factorization.

105051006056011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444582.

The product of its (nonzero) digits is 4500, while the sum is 31.

The spelling of 105051006056011 in words is "one hundred five trillion, fifty-one billion, six million, fifty-six thousand, eleven".