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106410257 is a prime number
BaseRepresentation
bin1100101011110…
…11000100010001
321102020012102122
412111323010101
5204220112012
614320424025
72431320662
oct625730421
9242205378
10106410257
115507a668
122b778015
1319079465
14101bd369
15951de72
hex657b111

106410257 has 2 divisors, whose sum is σ = 106410258. Its totient is φ = 106410256.

The previous prime is 106410181. The next prime is 106410299. The reversal of 106410257 is 752014601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102232321 + 4177936 = 10111^2 + 2044^2 .

It is a cyclic number.

It is not a de Polignac number, because 106410257 - 28 = 106410001 is a prime.

It is a super-2 number, since 2×1064102572 = 22646285589612098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106400257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53205128 + 53205129.

It is an arithmetic number, because the mean of its divisors is an integer number (53205129).

Almost surely, 2106410257 is an apocalyptic number.

It is an amenable number.

106410257 is a deficient number, since it is larger than the sum of its proper divisors (1).

106410257 is an equidigital number, since it uses as much as digits as its factorization.

106410257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 106410257 is about 10315.5347413501. The cubic root of 106410257 is about 473.8721266032.

Adding to 106410257 its reverse (752014601), we get a palindrome (858424858).

The spelling of 106410257 in words is "one hundred six million, four hundred ten thousand, two hundred fifty-seven".