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106506727109 is a prime number
BaseRepresentation
bin110001100110001001…
…0111010111011000101
3101011220122012022211122
41203030102322323011
53221111210231414
6120532320443325
710460223146246
oct1431422727305
9334818168748
10106506727109
11411952a8522
1218784a79545
13a074877523
145225296ccd
152b855b8b8e
hex18cc4baec5

106506727109 has 2 divisors, whose sum is σ = 106506727110. Its totient is φ = 106506727108.

The previous prime is 106506727087. The next prime is 106506727157. The reversal of 106506727109 is 901727605601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99332128900 + 7174598209 = 315170^2 + 84703^2 .

It is a cyclic number.

It is not a de Polignac number, because 106506727109 - 28 = 106506726853 is a prime.

It is a super-2 number, since 2×1065067271092 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106506727109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106506727189) 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, 53253363554 + 53253363555.

It is an arithmetic number, because the mean of its divisors is an integer number (53253363555).

Almost surely, 2106506727109 is an apocalyptic number.

It is an amenable number.

106506727109 is a deficient number, since it is larger than the sum of its proper divisors (1).

106506727109 is an equidigital number, since it uses as much as digits as its factorization.

106506727109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 158760, while the sum is 44.

The spelling of 106506727109 in words is "one hundred six billion, five hundred six million, seven hundred twenty-seven thousand, one hundred nine".