100536165 has 24 divisors (see below), whose sum is σ = 174783960. Its totient is φ = 53458944.

The previous prime is 100536143. The next prime is 100536167. The reversal of 100536165 is 561635001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16208676 + 84327489 = 4026^2 + 9183^2 .

It is not a de Polignac number, because 100536165 - 2⁵ = 100536133 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 (100536167) 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 23 ways as a sum of consecutive naturals, for example, 12721 + ... + 19049.

It is an arithmetic number, because the mean of its divisors is an integer number (7282665).

Almost surely, 2^100536165 is an apocalyptic number.

100536165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100536165 is a deficient number, since it is larger than the sum of its proper divisors (74247795).

100536165 is a wasteful number, since it uses less digits than its factorization.

100536165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6693 (or 6690 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 100536165 is about 10026.7724118981. The cubic root of 100536165 is about 464.9869576640.

The spelling of 100536165 in words is "one hundred million, five hundred thirty-six thousand, one hundred sixty-five".