100106515010665 has 16 divisors (see below), whose sum is σ = 121486058458128. Its totient is φ = 79181348438016.

The previous prime is 100106515010647. The next prime is 100106515010683. The reversal of 100106515010665 is 566010515601001.

It is an interprime number because it is at equal distance from previous prime (100106515010647) and next prime (100106515010683).

It can be written as a sum of positive squares in 8 ways, for example, as 52817195791936 + 47289319218729 = 7267544^2 + 6876723^2 .

It is a cyclic number.

It is not a de Polignac number, because 100106515010665 - 2³⁹ = 99556759196777 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101386872 + ... + 102369481.

It is an arithmetic number, because the mean of its divisors is an integer number (7592878653633).

Almost surely, 2^{100106515010665} is an apocalyptic number.

It is an amenable number.

100106515010665 is a deficient number, since it is larger than the sum of its proper divisors (21379543447463).

100106515010665 is a wasteful number, since it uses less digits than its factorization.

100106515010665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203757468.

The product of its (nonzero) digits is 27000, while the sum is 37.

The spelling of 100106515010665 in words is "one hundred trillion, one hundred six billion, five hundred fifteen million, ten thousand, six hundred sixty-five".