Search a number
-
+
106567718399 is a prime number
BaseRepresentation
bin110001100111111101…
…1100101010111111111
3101012001212222000011022
41203033323211113333
53221222313442044
6120542340014355
710461563442362
oct1431773452777
9335055860138
10106567718399
114121677614a
12187a13913bb
13a0843b074c
14522d4120d9
152b8ab153ee
hex18cfee55ff

106567718399 has 2 divisors, whose sum is σ = 106567718400. Its totient is φ = 106567718398.

The previous prime is 106567718393. The next prime is 106567718401. The reversal of 106567718399 is 993817765601.

It is a strong prime.

It is an emirp because it is prime and its reverse (993817765601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106567718399 - 28 = 106567718143 is a prime.

It is a super-2 number, since 2×1065677183992 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 106567718401, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106567718393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53283859199 + 53283859200.

It is an arithmetic number, because the mean of its divisors is an integer number (53283859200).

Almost surely, 2106567718399 is an apocalyptic number.

106567718399 is a deficient number, since it is larger than the sum of its proper divisors (1).

106567718399 is an equidigital number, since it uses as much as digits as its factorization.

106567718399 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17146080, while the sum is 62.

The spelling of 106567718399 in words is "one hundred six billion, five hundred sixty-seven million, seven hundred eighteen thousand, three hundred ninety-nine".