Search a number
-
+
106005506687 is a prime number
BaseRepresentation
bin110001010111001101…
…0111010101001111111
3101010121201001200200022
41202232122322221333
53214044402203222
6120410453522355
710441625640233
oct1425632725177
9333551050608
10106005506687
1140a58388173
12186650433bb
139cc4a85ab2
1451b88a45c3
152b565ae042
hex18ae6baa7f

106005506687 has 2 divisors, whose sum is σ = 106005506688. Its totient is φ = 106005506686.

The previous prime is 106005506653. The next prime is 106005506689. The reversal of 106005506687 is 786605500601.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 106005506687 - 26 = 106005506623 is a prime.

It is a super-2 number, since 2×1060055066872 (a number of 23 digits) contains 22 as substring.

Together with 106005506689, 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 (106005506689) by changing a digit.

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 as a sum of consecutive naturals, namely, 53002753343 + 53002753344.

It is an arithmetic number, because the mean of its divisors is an integer number (53002753344).

Almost surely, 2106005506687 is an apocalyptic number.

106005506687 is a deficient number, since it is larger than the sum of its proper divisors (1).

106005506687 is an equidigital number, since it uses as much as digits as its factorization.

106005506687 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 302400, while the sum is 44.

The spelling of 106005506687 in words is "one hundred six billion, five million, five hundred six thousand, six hundred eighty-seven".