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106765666741 is a prime number
BaseRepresentation
bin110001101101110111…
…0101100100110110101
3101012120200102211020101
41203123232230212311
53222124002313431
6121014130434101
710466516123266
oct1433356544665
9335520384211
10106765666741
1141308487718
1218837732931
13a0b63c9c46
14524b81c96d
152b9d1b6961
hex18dbbac9b5

106765666741 has 2 divisors, whose sum is σ = 106765666742. Its totient is φ = 106765666740.

The previous prime is 106765666739. The next prime is 106765666759. The reversal of 106765666741 is 147666567601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69775222500 + 36990444241 = 264150^2 + 192329^2 .

It is a cyclic number.

It is not a de Polignac number, because 106765666741 - 21 = 106765666739 is a prime.

It is a super-2 number, since 2×1067656667412 (a number of 23 digits) contains 22 as substring.

Together with 106765666739, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106765661741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53382833370 + 53382833371.

It is an arithmetic number, because the mean of its divisors is an integer number (53382833371).

Almost surely, 2106765666741 is an apocalyptic number.

It is an amenable number.

106765666741 is a deficient number, since it is larger than the sum of its proper divisors (1).

106765666741 is an equidigital number, since it uses as much as digits as its factorization.

106765666741 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7620480, while the sum is 55.

The spelling of 106765666741 in words is "one hundred six billion, seven hundred sixty-five million, six hundred sixty-six thousand, seven hundred forty-one".