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106815869 is a prime number
BaseRepresentation
bin1100101110111…
…10000101111101
321102222210211022
412113132011331
5204321101434
614333233525
72434630346
oct627360575
9242883738
10106815869
1155327386
122b9328a5
131918bc74
14102870cd
15959e22e
hex65de17d

106815869 has 2 divisors, whose sum is σ = 106815870. Its totient is φ = 106815868.

The previous prime is 106815859. The next prime is 106815871. The reversal of 106815869 is 968518601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57183844 + 49632025 = 7562^2 + 7045^2 .

It is an emirp because it is prime and its reverse (968518601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106815869 - 220 = 105767293 is a prime.

It is a super-2 number, since 2×1068158692 = 22819259740450322, which contains 22 as substring.

Together with 106815871, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106815809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53407934 + 53407935.

It is an arithmetic number, because the mean of its divisors is an integer number (53407935).

Almost surely, 2106815869 is an apocalyptic number.

It is an amenable number.

106815869 is a deficient number, since it is larger than the sum of its proper divisors (1).

106815869 is an equidigital number, since it uses as much as digits as its factorization.

106815869 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 103680, while the sum is 44.

The square root of 106815869 is about 10335.1762926425. The cubic root of 106815869 is about 474.4734612367.

The spelling of 106815869 in words is "one hundred six million, eight hundred fifteen thousand, eight hundred sixty-nine".