Search a number
-
+
106000565969 is a prime number
BaseRepresentation
bin110001010111000100…
…0000100011011010001
3101010121100202200021202
41202232020010123101
53214042121102334
6120410200000545
710441535641634
oct1425610043321
9333540680252
10106000565969
1140a55613131
1218663460155
139cc3a45cac
1451b7d79c1b
152b55e3517e
hex18ae2046d1

106000565969 has 2 divisors, whose sum is σ = 106000565970. Its totient is φ = 106000565968.

The previous prime is 106000565959. The next prime is 106000566053. The reversal of 106000565969 is 969565000601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85576726225 + 20423839744 = 292535^2 + 142912^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106000565969 is a prime.

It is a super-3 number, since 3×1060005659693 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (106000565929) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53000282984 + 53000282985.

It is an arithmetic number, because the mean of its divisors is an integer number (53000282985).

Almost surely, 2106000565969 is an apocalyptic number.

It is an amenable number.

106000565969 is a deficient number, since it is larger than the sum of its proper divisors (1).

106000565969 is an equidigital number, since it uses as much as digits as its factorization.

106000565969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 437400, while the sum is 47.

The spelling of 106000565969 in words is "one hundred six billion, five hundred sixty-five thousand, nine hundred sixty-nine".