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106662137 is a prime number
BaseRepresentation
bin1100101101110…
…00100011111001
321102200222221112
412112320203321
5204301142022
614330050105
72433420221
oct626704371
9242628845
10106662137
115523192a
122b879935
1319136cba
1410247081
15956d8e2
hex65b88f9

106662137 has 2 divisors, whose sum is σ = 106662138. Its totient is φ = 106662136.

The previous prime is 106662121. The next prime is 106662167. The reversal of 106662137 is 731266601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57395776 + 49266361 = 7576^2 + 7019^2 .

It is a cyclic number.

It is not a de Polignac number, because 106662137 - 24 = 106662121 is a prime.

It is a super-2 number, since 2×1066621372 = 22753622938813538, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (106662107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53331068 + 53331069.

It is an arithmetic number, because the mean of its divisors is an integer number (53331069).

Almost surely, 2106662137 is an apocalyptic number.

It is an amenable number.

106662137 is a deficient number, since it is larger than the sum of its proper divisors (1).

106662137 is an equidigital number, since it uses as much as digits as its factorization.

106662137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 106662137 is about 10327.7362960138. The cubic root of 106662137 is about 474.2457273615.

The spelling of 106662137 in words is "one hundred six million, six hundred sixty-two thousand, one hundred thirty-seven".