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106165373 is a prime number
BaseRepresentation
bin1100101001111…
…11010001111101
321101202202111212
412110333101331
5204134242443
614311254205
72426251016
oct624772175
9241682455
10106165373
1154a22686
122b67a365
1318cc1b62
141015800d
1594c1618
hex653f47d

106165373 has 2 divisors, whose sum is σ = 106165374. Its totient is φ = 106165372.

The previous prime is 106165363. The next prime is 106165417. The reversal of 106165373 is 373561601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57123364 + 49042009 = 7558^2 + 7003^2 .

It is a cyclic number.

It is not a de Polignac number, because 106165373 - 214 = 106148989 is a prime.

It is a super-2 number, since 2×1061653732 = 22542172848458258, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106165303) 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, 53082686 + 53082687.

It is an arithmetic number, because the mean of its divisors is an integer number (53082687).

Almost surely, 2106165373 is an apocalyptic number.

It is an amenable number.

106165373 is a deficient number, since it is larger than the sum of its proper divisors (1).

106165373 is an equidigital number, since it uses as much as digits as its factorization.

106165373 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 106165373 is about 10303.6582338507. The cubic root of 106165373 is about 473.5083370056.

The spelling of 106165373 in words is "one hundred six million, one hundred sixty-five thousand, three hundred seventy-three".