100008165 has 16 divisors (see below), whose sum is σ = 160258176. Its totient is φ = 53256000.

The previous prime is 100008133. The next prime is 100008169. The reversal of 100008165 is 561800001.

It is not a de Polignac number, because 100008165 - 2⁵ = 100008133 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100008169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5760 + ... + 15270.

It is an arithmetic number, because the mean of its divisors is an integer number (10016136).

Almost surely, 2^100008165 is an apocalyptic number.

100008165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100008165 is a deficient number, since it is larger than the sum of its proper divisors (60250011).

100008165 is an equidigital number, since it uses as much as digits as its factorization.

100008165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10220.

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 100008165 is about 10000.4082416669. The cubic root of 100008165 is about 464.1715158751.

Adding to 100008165 its reverse (561800001), we get a palindrome (661808166).

The spelling of 100008165 in words is "one hundred million, eight thousand, one hundred sixty-five".