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106147273 is a prime number
BaseRepresentation
bin1100101001110…
…10110111001001
321101201211200111
412110322313021
5204133203043
614311034321
72426144161
oct624726711
9241654614
10106147273
1154a10021
122b66b9a1
1318cb684b
14101515a1
1594bb09d
hex653adc9

106147273 has 2 divisors, whose sum is σ = 106147274. Its totient is φ = 106147272.

The previous prime is 106147271. The next prime is 106147333. The reversal of 106147273 is 372741601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60016009 + 46131264 = 7747^2 + 6792^2 .

It is a cyclic number.

It is not a de Polignac number, because 106147273 - 21 = 106147271 is a prime.

It is a super-2 number, since 2×1061472732 = 22534487130673058, which contains 22 as substring.

Together with 106147271, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (106147271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53073636 + 53073637.

It is an arithmetic number, because the mean of its divisors is an integer number (53073637).

Almost surely, 2106147273 is an apocalyptic number.

It is an amenable number.

106147273 is a deficient number, since it is larger than the sum of its proper divisors (1).

106147273 is an equidigital number, since it uses as much as digits as its factorization.

106147273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 106147273 is about 10302.7798675891. The cubic root of 106147273 is about 473.4814261973.

Adding to 106147273 its reverse (372741601), we get a palindrome (478888874).

The spelling of 106147273 in words is "one hundred six million, one hundred forty-seven thousand, two hundred seventy-three".