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106657247 is a prime number
BaseRepresentation
bin1100101101101…
…11010111011111
321102200202020102
412112313113133
5204301012442
614330011315
72433400034
oct626672737
9242622212
10106657247
1155229194
122b876b3b
13191349c8
141024538b
15956c232
hex65b75df

106657247 has 2 divisors, whose sum is σ = 106657248. Its totient is φ = 106657246.

The previous prime is 106657237. The next prime is 106657249. The reversal of 106657247 is 742756601.

It is a strong prime.

It is an emirp because it is prime and its reverse (742756601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106657247 - 24 = 106657231 is a prime.

It is a super-2 number, since 2×1066572472 = 22751536675238018, which contains 22 as substring.

Together with 106657249, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 106657247.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106657249) 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, 53328623 + 53328624.

It is an arithmetic number, because the mean of its divisors is an integer number (53328624).

Almost surely, 2106657247 is an apocalyptic number.

106657247 is a deficient number, since it is larger than the sum of its proper divisors (1).

106657247 is an equidigital number, since it uses as much as digits as its factorization.

106657247 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 106657247 is about 10327.4995521665. The cubic root of 106657247 is about 474.2384798755.

The spelling of 106657247 in words is "one hundred six million, six hundred fifty-seven thousand, two hundred forty-seven".