105600101105061 has 32 divisors (see below), whose sum is σ = 156996796924800. Its totient is φ = 70151959405440.

The previous prime is 105600101105041. The next prime is 105600101105159. The reversal of 105600101105061 is 160501101006501.

105600101105061 is a `hidden beast` number, since 1 + 0 + 5 + 600 + 1 + 0 + 1 + 1 + 0 + 50 + 6 + 1 = 666.

It is not a de Polignac number, because 105600101105061 - 2²² = 105600096910757 is a prime.

It is a super-2 number, since 2×105600101105061² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105600101105011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4599721 + ... + 15243281.

It is an arithmetic number, because the mean of its divisors is an integer number (4906149903900).

Almost surely, 2^{105600101105061} is an apocalyptic number.

It is an amenable number.

105600101105061 is a deficient number, since it is larger than the sum of its proper divisors (51396695819739).

105600101105061 is a wasteful number, since it uses less digits than its factorization.

105600101105061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10644866 (or 10644860 counting only the distinct ones).

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

The spelling of 105600101105061 in words is "one hundred five trillion, six hundred billion, one hundred one million, one hundred five thousand, sixty-one".