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107162117 is a prime number
BaseRepresentation
bin1100110001100…
…10101000000101
321110122101210022
412120302220011
5204413141432
614344504525
72440601666
oct630625005
9243571708
10107162117
1155543537
122ba7b145
131928074a
141033736d
15961bb12
hex6632a05

107162117 has 2 divisors, whose sum is σ = 107162118. Its totient is φ = 107162116.

The previous prime is 107162089. The next prime is 107162119. The reversal of 107162117 is 711261701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83649316 + 23512801 = 9146^2 + 4849^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-107162117 is a prime.

It is a super-2 number, since 2×1071621172 = 22967438639843378, which contains 22 as substring.

Together with 107162119, 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 (107162119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53581058 + 53581059.

It is an arithmetic number, because the mean of its divisors is an integer number (53581059).

Almost surely, 2107162117 is an apocalyptic number.

It is an amenable number.

107162117 is a deficient number, since it is larger than the sum of its proper divisors (1).

107162117 is an equidigital number, since it uses as much as digits as its factorization.

107162117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 588, while the sum is 26.

The square root of 107162117 is about 10351.9136878164. The cubic root of 107162117 is about 474.9855833113.

The spelling of 107162117 in words is "one hundred seven million, one hundred sixty-two thousand, one hundred seventeen".