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106964357317 is a prime number
BaseRepresentation
bin110001110011110010…
…0101001000011000101
3101020002112022100110121
41203213210221003011
53223030333413232
6121045545221541
710504451015146
oct1434744510305
9336075270417
10106964357317
11413aa655904
12188921918b1
13a11861622c
145269d7dacd
152bb0862d97
hex18e79290c5

106964357317 has 2 divisors, whose sum is σ = 106964357318. Its totient is φ = 106964357316.

The previous prime is 106964357293. The next prime is 106964357321. The reversal of 106964357317 is 713753469601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63519624961 + 43444732356 = 252031^2 + 208434^2 .

It is a cyclic number.

It is not a de Polignac number, because 106964357317 - 215 = 106964324549 is a prime.

It is a super-2 number, since 2×1069643573172 (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 (106964357327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53482178658 + 53482178659.

It is an arithmetic number, because the mean of its divisors is an integer number (53482178659).

Almost surely, 2106964357317 is an apocalyptic number.

It is an amenable number.

106964357317 is a deficient number, since it is larger than the sum of its proper divisors (1).

106964357317 is an equidigital number, since it uses as much as digits as its factorization.

106964357317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2857680, while the sum is 52.

The spelling of 106964357317 in words is "one hundred six billion, nine hundred sixty-four million, three hundred fifty-seven thousand, three hundred seventeen".