100005565 has 16 divisors (see below), whose sum is σ = 132083136. Its totient is φ = 72083200.

The previous prime is 100005551. The next prime is 100005583. The reversal of 100005565 is 565500001.

It is not a de Polignac number, because 100005565 - 2⁵ = 100005533 is a prime.

It is a super-2 number, since 2×100005565² = 20002226061938450, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1831 + ... + 14260.

It is an arithmetic number, because the mean of its divisors is an integer number (8255196).

Almost surely, 2^100005565 is an apocalyptic number.

It is an amenable number.

100005565 is a deficient number, since it is larger than the sum of its proper divisors (32077571).

100005565 is a wasteful number, since it uses less digits than its factorization.

100005565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16220.

The product of its (nonzero) digits is 750, while the sum is 22.

The square root of 100005565 is about 10000.2782461290. The cubic root of 100005565 is about 464.1674933489.

Adding to 100005565 its reverse (565500001), we get a palindrome (665505566).

The spelling of 100005565 in words is "one hundred million, five thousand, five hundred sixty-five".