100820165 has 16 divisors (see below), whose sum is σ = 124310208. Its totient is φ = 78454656.

The previous prime is 100820147. The next prime is 100820173. The reversal of 100820165 is 561028001.

It is a cyclic number.

It is not a de Polignac number, because 100820165 - 2²⁴ = 84042949 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100820165.

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, 60017 + ... + 61673.

It is an arithmetic number, because the mean of its divisors is an integer number (7769388).

Almost surely, 2^100820165 is an apocalyptic number.

It is an amenable number.

100820165 is a deficient number, since it is larger than the sum of its proper divisors (23490043).

100820165 is a wasteful number, since it uses less digits than its factorization.

100820165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988.

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 100820165 is about 10040.9245092272. The cubic root of 100820165 is about 465.4243861395.

Adding to 100820165 its reverse (561028001), we get a palindrome (661848166).

The spelling of 100820165 in words is "one hundred million, eight hundred twenty thousand, one hundred sixty-five".