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106297 is a prime number
BaseRepresentation
bin11001111100111001
312101210221
4121330321
511400142
62140041
7621622
oct317471
9171727
10106297
1172954
1251621
13394c9
142aa49
1521767
hex19f39

106297 has 2 divisors, whose sum is σ = 106298. Its totient is φ = 106296.

The previous prime is 106291. The next prime is 106303. The reversal of 106297 is 792601.

It is a balanced prime because it is at equal distance from previous prime (106291) and next prime (106303).

It can be written as a sum of positive squares in only one way, i.e., 95481 + 10816 = 309^2 + 104^2 .

It is an emirp because it is prime and its reverse (792601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106297 - 215 = 73529 is a prime.

It is a super-2 number, since 2×1062972 = 22598104418, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106291) 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, 53148 + 53149.

It is an arithmetic number, because the mean of its divisors is an integer number (53149).

2106297 is an apocalyptic number.

It is an amenable number.

106297 is a deficient number, since it is larger than the sum of its proper divisors (1).

106297 is an equidigital number, since it uses as much as digits as its factorization.

106297 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 106297 is about 326.0322069980. The cubic root of 106297 is about 47.3703946113.

Adding to 106297 its reverse (792601), we get a palindrome (898898).

The spelling of 106297 in words is "one hundred six thousand, two hundred ninety-seven".