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106909601 is a prime number
BaseRepresentation
bin1100101111101…
…00111110100001
321110011120101212
412113310332201
5204332101401
614335235505
72435500541
oct627647641
9243146355
10106909601
1155390847
122b978b95
13191c2826
14102ad321
1595bbdbb
hex65f4fa1

106909601 has 2 divisors, whose sum is σ = 106909602. Its totient is φ = 106909600.

The previous prime is 106909597. The next prime is 106909603.

It is a happy number.

106909601 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104019601 + 2890000 = 10199^2 + 1700^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 106909601 - 22 = 106909597 is a prime.

It is a super-2 number, since 2×1069096012 = 22859325571958402, which contains 22 as substring.

Together with 106909603, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (106909603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53454800 + 53454801.

It is an arithmetic number, because the mean of its divisors is an integer number (53454801).

Almost surely, 2106909601 is an apocalyptic number.

It is an amenable number.

106909601 is a deficient number, since it is larger than the sum of its proper divisors (1).

106909601 is an equidigital number, since it uses as much as digits as its factorization.

106909601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 32.

The square root of 106909601 is about 10339.7099088901. The cubic root of 106909601 is about 474.6122057404.

The spelling of 106909601 in words is "one hundred six million, nine hundred nine thousand, six hundred one".