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106366076717 is a prime number
BaseRepresentation
bin110001100001111101…
…0011000011100101101
3101011112211112112202212
41203003322120130231
53220314203423332
6120510334100205
710453564506635
oct1430372303455
9334484475685
10106366076717
114112297182a
121874594a665
13a0516a0144
1452107236c5
152b780848b2
hex18c3e9872d

106366076717 has 2 divisors, whose sum is σ = 106366076718. Its totient is φ = 106366076716.

The previous prime is 106366076633. The next prime is 106366076723. The reversal of 106366076717 is 717670663601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86173950916 + 20192125801 = 293554^2 + 142099^2 .

It is a cyclic number.

It is not a de Polignac number, because 106366076717 - 212 = 106366072621 is a prime.

It is a super-2 number, since 2×1063660767172 (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 (106366076767) 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, 53183038358 + 53183038359.

It is an arithmetic number, because the mean of its divisors is an integer number (53183038359).

Almost surely, 2106366076717 is an apocalyptic number.

It is an amenable number.

106366076717 is a deficient number, since it is larger than the sum of its proper divisors (1).

106366076717 is an equidigital number, since it uses as much as digits as its factorization.

106366076717 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1333584, while the sum is 50.

The spelling of 106366076717 in words is "one hundred six billion, three hundred sixty-six million, seventy-six thousand, seven hundred seventeen".