100642165 has 16 divisors (see below), whose sum is σ = 130274928. Its totient is φ = 74198016.

The previous prime is 100642163. The next prime is 100642187. The reversal of 100642165 is 561246001.

It can be written as a sum of positive squares in 8 ways, for example, as 8520561 + 92121604 = 2919^2 + 9598^2 .

It is a cyclic number.

It is not a de Polignac number, because 100642165 - 2¹ = 100642163 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100642163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64029 + ... + 65581.

It is an arithmetic number, because the mean of its divisors is an integer number (8142183).

Almost surely, 2^100642165 is an apocalyptic number.

It is an amenable number.

100642165 is a deficient number, since it is larger than the sum of its proper divisors (29632763).

100642165 is a wasteful number, since it uses less digits than its factorization.

100642165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2568.

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 100642165 is about 10032.0568678611. The cubic root of 100642165 is about 465.1503194593.

Adding to 100642165 its reverse (561246001), we get a palindrome (661888166).

The spelling of 100642165 in words is "one hundred million, six hundred forty-two thousand, one hundred sixty-five".