100005165 has 32 divisors (see below), whose sum is σ = 191466240. Its totient is φ = 49232448.

The previous prime is 100005149. The next prime is 100005193. The reversal of 100005165 is 561500001.

It is not a de Polignac number, because 100005165 - 2⁴ = 100005149 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26737 + ... + 30246.

It is an arithmetic number, because the mean of its divisors is an integer number (5983320).

Almost surely, 2^100005165 is an apocalyptic number.

100005165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100005165 is a deficient number, since it is larger than the sum of its proper divisors (91461075).

100005165 is a wasteful number, since it uses less digits than its factorization.

100005165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57010 (or 57004 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 100005165 is about 10000.2582466654. The cubic root of 100005165 is about 464.1668744925.

Adding to 100005165 its reverse (561500001), we get a palindrome (661505166).

The spelling of 100005165 in words is "one hundred million, five thousand, one hundred sixty-five".