Search a number
-
+
106608627901 is a prime number
BaseRepresentation
bin110001101001001011…
…1101001000010111101
3101012011201221102110001
41203102113221002331
53221313302043101
6120550400514301
710462601246146
oct1432227510275
9335151842401
10106608627901
1141237878056
12187b301b991
13a08ca05259
145234a20acd
152b8e4e6901
hex18d25e90bd

106608627901 has 2 divisors, whose sum is σ = 106608627902. Its totient is φ = 106608627900.

The previous prime is 106608627893. The next prime is 106608627967. The reversal of 106608627901 is 109726806601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54768168676 + 51840459225 = 234026^2 + 227685^2 .

It is a cyclic number.

It is not a de Polignac number, because 106608627901 - 23 = 106608627893 is a prime.

It is a super-2 number, since 2×1066086279012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106608621901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53304313950 + 53304313951.

It is an arithmetic number, because the mean of its divisors is an integer number (53304313951).

Almost surely, 2106608627901 is an apocalyptic number.

It is an amenable number.

106608627901 is a deficient number, since it is larger than the sum of its proper divisors (1).

106608627901 is an equidigital number, since it uses as much as digits as its factorization.

106608627901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 106608627901 in words is "one hundred six billion, six hundred eight million, six hundred twenty-seven thousand, nine hundred one".