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107646106517 is a prime number
BaseRepresentation
bin110010001000000110…
…1010011101110010101
3101021212001010210112222
41210100031103232111
53230424400402032
6121241341352125
710530366544145
oct1442015235625
9337761123488
10107646106517
114171a46a0a4
1218a42568645
13a1c6935421
1452d2726925
152c0062ca12
hex1910353b95

107646106517 has 2 divisors, whose sum is σ = 107646106518. Its totient is φ = 107646106516.

The previous prime is 107646106429. The next prime is 107646106541. The reversal of 107646106517 is 715601646701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69777335716 + 37868770801 = 264154^2 + 194599^2 .

It is a cyclic number.

It is not a de Polignac number, because 107646106517 - 210 = 107646105493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (107646100517) 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, 53823053258 + 53823053259.

It is an arithmetic number, because the mean of its divisors is an integer number (53823053259).

Almost surely, 2107646106517 is an apocalyptic number.

It is an amenable number.

107646106517 is a deficient number, since it is larger than the sum of its proper divisors (1).

107646106517 is an equidigital number, since it uses as much as digits as its factorization.

107646106517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 211680, while the sum is 44.

The spelling of 107646106517 in words is "one hundred seven billion, six hundred forty-six million, one hundred six thousand, five hundred seventeen".