100561116 has 48 divisors (see below), whose sum is σ = 242119584. Its totient is φ = 32461056.

The previous prime is 100561099. The next prime is 100561147. The reversal of 100561116 is 611165001.

It is a super-2 number, since 2×100561116² = 20225076102330912, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100561092 and 100561101.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 129706 + ... + 130478.

It is an arithmetic number, because the mean of its divisors is an integer number (5044158).

Almost surely, 2^100561116 is an apocalyptic number.

It is an amenable number.

100561116 is an abundant number, since it is smaller than the sum of its proper divisors (141558468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100561116 is a wasteful number, since it uses less digits than its factorization.

100561116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 100561116 is about 10028.0165536361. The cubic root of 100561116 is about 465.0254212024.

The spelling of 100561116 in words is "one hundred million, five hundred sixty-one thousand, one hundred sixteen".