105561111050001 has 12 divisors (see below), whose sum is σ = 157734993523380. Its totient is φ = 67947381825120.

The previous prime is 105561111049991. The next prime is 105561111050069. The reversal of 105561111050001 is 100050111165501.

105561111050001 is a `hidden beast` number, since 1 + 0 + 556 + 1 + 1 + 1 + 105 + 0 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 83353266299601 + 22207844750400 = 9129801^2 + 4712520^2 .

It is not a de Polignac number, because 105561111050001 - 2⁶ = 105561111049937 is a prime.

It is a super-2 number, since 2×105561111050001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105561111050701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202224350410 + ... + 202224350931.

It is an arithmetic number, because the mean of its divisors is an integer number (13144582793615).

Almost surely, 2^{105561111050001} is an apocalyptic number.

It is an amenable number.

105561111050001 is a deficient number, since it is larger than the sum of its proper divisors (52173882473379).

105561111050001 is a wasteful number, since it uses less digits than its factorization.

105561111050001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404448701376 (or 404448701373 counting only the distinct ones).

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

The spelling of 105561111050001 in words is "one hundred five trillion, five hundred sixty-one billion, one hundred eleven million, fifty thousand, one".