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106959317 is a prime number
BaseRepresentation
bin1100110000000…
…01000111010101
321110021002121012
412120001013111
5204340144232
614340302005
72436065513
oct630010725
9243232535
10106959317
1155415133
122b9a1905
131920c34a
14102c34b3
1595cb9b2
hex66011d5

106959317 has 2 divisors, whose sum is σ = 106959318. Its totient is φ = 106959316.

The previous prime is 106959289. The next prime is 106959319. The reversal of 106959317 is 713959601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73942801 + 33016516 = 8599^2 + 5746^2 .

It is an emirp because it is prime and its reverse (713959601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106959317 - 214 = 106942933 is a prime.

It is a super-2 number, since 2×1069593172 = 22880590986212978, which contains 22 as substring.

Together with 106959319, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106959319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53479658 + 53479659.

It is an arithmetic number, because the mean of its divisors is an integer number (53479659).

Almost surely, 2106959317 is an apocalyptic number.

It is an amenable number.

106959317 is a deficient number, since it is larger than the sum of its proper divisors (1).

106959317 is an equidigital number, since it uses as much as digits as its factorization.

106959317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51030, while the sum is 41.

The square root of 106959317 is about 10342.1137588019. The cubic root of 106959317 is about 474.6857637233.

The spelling of 106959317 in words is "one hundred six million, nine hundred fifty-nine thousand, three hundred seventeen".