105105511010061 has 12 divisors (see below), whose sum is σ = 151838563031740. Its totient is φ = 70061344562880.

The previous prime is 105105511010021. The next prime is 105105511010113. The reversal of 105105511010061 is 160010115501501.

105105511010061 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 0 + 551 + 1 + 0 + 100 + 6 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25085222505225 + 80020288504836 = 5008515^2 + 8945406^2 .

It is a de Polignac number, because none of the positive numbers 2^k-105105511010061 is a prime.

It is a super-2 number, since 2×105105511010061² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105105511010021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 749601880 + ... + 749742081.

Almost surely, 2^{105105511010061} is an apocalyptic number.

It is an amenable number.

105105511010061 is a deficient number, since it is larger than the sum of its proper divisors (46733052021679).

105105511010061 is a wasteful number, since it uses less digits than its factorization.

105105511010061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499351756 (or 1499351753 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 27.

Adding to 105105511010061 its reverse (160010115501501), we get a palindrome (265115626511562).

The spelling of 105105511010061 in words is "one hundred five trillion, one hundred five billion, five hundred eleven million, ten thousand, sixty-one".