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106998077 is a prime number
BaseRepresentation
bin1100110000010…
…10100100111101
321110100001202202
412120022210331
5204342414302
614341201245
72436316514
oct630124475
9243301682
10106998077
115544126a
122ba00225
1319223b94
14102d367b
1595d8202
hex660a93d

106998077 has 2 divisors, whose sum is σ = 106998078. Its totient is φ = 106998076.

The previous prime is 106998041. The next prime is 106998079. The reversal of 106998077 is 770899601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56460196 + 50537881 = 7514^2 + 7109^2 .

It is a cyclic number.

It is not a de Polignac number, because 106998077 - 26 = 106998013 is a prime.

It is a super-2 number, since 2×1069980772 = 22897176963395858, which contains 22 as substring.

Together with 106998079, 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 (106998079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53499038 + 53499039.

It is an arithmetic number, because the mean of its divisors is an integer number (53499039).

Almost surely, 2106998077 is an apocalyptic number.

It is an amenable number.

106998077 is a deficient number, since it is larger than the sum of its proper divisors (1).

106998077 is an equidigital number, since it uses as much as digits as its factorization.

106998077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 190512, while the sum is 47.

The square root of 106998077 is about 10343.9874806575. The cubic root of 106998077 is about 474.7430957965.

The spelling of 106998077 in words is "one hundred six million, nine hundred ninety-eight thousand, seventy-seven".