106165165973 has 2 divisors, whose sum is σ = 106165165974. Its totient is φ = 106165165972.

The previous prime is 106165165961. The next prime is 106165166017. The reversal of 106165165973 is 379561561601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102194023684 + 3971142289 = 319678^2 + 63017^2 .

It is a cyclic number.

It is not a de Polignac number, because 106165165973 - 2³⁰ = 105091424149 is a prime.

It is a super-2 number, since 2×106165165973² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106165165913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53082582986 + 53082582987.

It is an arithmetic number, because the mean of its divisors is an integer number (53082582987).

Almost surely, 2^106165165973 is an apocalyptic number.

It is an amenable number.

106165165973 is a deficient number, since it is larger than the sum of its proper divisors (1).

106165165973 is an equidigital number, since it uses as much as digits as its factorization.

106165165973 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1020600, while the sum is 50.

The spelling of 106165165973 in words is "one hundred six billion, one hundred sixty-five million, one hundred sixty-five thousand, nine hundred seventy-three".