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106678529 is a prime number
BaseRepresentation
bin1100101101111…
…00100100000001
321102201211102122
412112330210001
5204302203104
614330254025
72433516056
oct626744401
9242654378
10106678529
1155243181
122b887315
13191415b9
141024d02d
1595736be
hex65bc901

106678529 has 2 divisors, whose sum is σ = 106678530. Its totient is φ = 106678528.

The previous prime is 106678493. The next prime is 106678541. The reversal of 106678529 is 925876601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105103504 + 1575025 = 10252^2 + 1255^2 .

It is a cyclic number.

It is not a de Polignac number, because 106678529 - 212 = 106674433 is a prime.

It is a super-2 number, since 2×1066785292 = 22760617099207682, which contains 22 as substring.

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 106678529.

It is not a weakly prime, because it can be changed into another prime (106678589) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53339264 + 53339265.

It is an arithmetic number, because the mean of its divisors is an integer number (53339265).

Almost surely, 2106678529 is an apocalyptic number.

It is an amenable number.

106678529 is a deficient number, since it is larger than the sum of its proper divisors (1).

106678529 is an equidigital number, since it uses as much as digits as its factorization.

106678529 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 181440, while the sum is 44.

The square root of 106678529 is about 10328.5298566640. The cubic root of 106678529 is about 474.2700203862.

The spelling of 106678529 in words is "one hundred six million, six hundred seventy-eight thousand, five hundred twenty-nine".