100105568 has 24 divisors (see below), whose sum is σ = 205653168. Its totient is φ = 47876224.

The previous prime is 100105567. The next prime is 100105573. The reversal of 100105568 is 865501001.

It is a super-2 number, since 2×100105568² = 20042249489205248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105567) 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 3 ways as a sum of consecutive naturals, for example, 67271 + ... + 68742.

It is an arithmetic number, because the mean of its divisors is an integer number (8568882).

Almost surely, 2^100105568 is an apocalyptic number.

It is an amenable number.

100105568 is an abundant number, since it is smaller than the sum of its proper divisors (105547600).

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

100105568 is a wasteful number, since it uses less digits than its factorization.

100105568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136046 (or 136038 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

The square root of 100105568 is about 10005.2770076595. The cubic root of 100105568 is about 464.3221603353.

Adding to 100105568 its reverse (865501001), we get a palindrome (965606569).

The spelling of 100105568 in words is "one hundred million, one hundred five thousand, five hundred sixty-eight".