105561010100601 has 20 divisors (see below), whose sum is σ = 172025349795024. Its totient is φ = 63976369757400.

The previous prime is 105561010100597. The next prime is 105561010100687. The reversal of 105561010100601 is 106001010165501.

105561010100601 is a `hidden beast` number, since 1 + 0 + 5 + 56 + 1 + 0 + 1 + 0 + 1 + 0 + 0 + 601 = 666.

It is not a de Polignac number, because 105561010100601 - 2² = 105561010100597 is a prime.

It is a super-2 number, since 2×105561010100601² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (105561010105601) 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 19 ways as a sum of consecutive naturals, for example, 59237378515 + ... + 59237380296.

Almost surely, 2^{105561010100601} is an apocalyptic number.

105561010100601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105561010100601 is a deficient number, since it is larger than the sum of its proper divisors (66464339694423).

105561010100601 is a wasteful number, since it uses less digits than its factorization.

105561010100601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118474758834 (or 118474758825 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 105561010100601 in words is "one hundred five trillion, five hundred sixty-one billion, ten million, one hundred thousand, six hundred one".