100561113 has 6 divisors (see below), whose sum is σ = 145254954. Its totient is φ = 67040736.

The previous prime is 100561099. The next prime is 100561147. The reversal of 100561113 is 311165001.

100561113 is a `hidden beast` number, since 100 + 561 + 1 + 1 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 71368704 + 29192409 = 8448^2 + 5403^2 .

It is not a de Polignac number, because 100561113 - 2¹⁴ = 100544729 is a prime.

It is a super-2 number, since 2×100561113² = 20225074895597538, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100560113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5586720 + ... + 5586737.

It is an arithmetic number, because the mean of its divisors is an integer number (24209159).

Almost surely, 2^100561113 is an apocalyptic number.

It is an amenable number.

100561113 is a deficient number, since it is larger than the sum of its proper divisors (44693841).

100561113 is a wasteful number, since it uses less digits than its factorization.

100561113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11173463 (or 11173460 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 100561113 is about 10028.0164040552. The cubic root of 100561113 is about 465.0254165781.

The spelling of 100561113 in words is "one hundred million, five hundred sixty-one thousand, one hundred thirteen".