Search a number
-
+
106662328109 is a prime number
BaseRepresentation
bin110001101010110010…
…0011111011100101101
3101012022110222200021122
41203111210133130231
53221421023444414
6120555555510325
710464122554421
oct1432544373455
9335273880248
10106662328109
1141265115897
1218808bb83a5
13a09ab8791c
14523bbdcb81
152b940a2b8e
hex18d591f72d

106662328109 has 2 divisors, whose sum is σ = 106662328110. Its totient is φ = 106662328108.

The previous prime is 106662328103. The next prime is 106662328111. The reversal of 106662328109 is 901823266601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58565452009 + 48096876100 = 242003^2 + 219310^2 .

It is a cyclic number.

It is not a de Polignac number, because 106662328109 - 232 = 102367360813 is a prime.

It is a super-2 number, since 2×1066623281092 (a number of 23 digits) contains 22 as substring.

Together with 106662328111, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 106662328109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106662328103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53331164054 + 53331164055.

It is an arithmetic number, because the mean of its divisors is an integer number (53331164055).

Almost surely, 2106662328109 is an apocalyptic number.

It is an amenable number.

106662328109 is a deficient number, since it is larger than the sum of its proper divisors (1).

106662328109 is an equidigital number, since it uses as much as digits as its factorization.

106662328109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 186624, while the sum is 44.

The spelling of 106662328109 in words is "one hundred six billion, six hundred sixty-two million, three hundred twenty-eight thousand, one hundred nine".