100561106061 has 48 divisors (see below), whose sum is σ = 157753307712. Its totient is φ = 61360416000.

The previous prime is 100561106059. The next prime is 100561106071. The reversal of 100561106061 is 160601165001.

100561106061 is a `hidden beast` number, since 1 + 0 + 0 + 56 + 1 + 1 + 0 + 606 + 1 = 666.

It is not a de Polignac number, because 100561106061 - 2¹ = 100561106059 is a prime.

It is a super-2 number, since 2×100561106061² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100561106011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27602106 + ... + 27605748.

It is an arithmetic number, because the mean of its divisors is an integer number (3286527244).

Almost surely, 2^100561106061 is an apocalyptic number.

It is an amenable number.

100561106061 is a deficient number, since it is larger than the sum of its proper divisors (57192201651).

100561106061 is a wasteful number, since it uses less digits than its factorization.

100561106061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5594 (or 5591 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 100561106061 in words is "one hundred billion, five hundred sixty-one million, one hundred six thousand, sixty-one".