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106937 is a prime number
BaseRepresentation
bin11010000110111001
312102200122
4122012321
511410222
62143025
7623525
oct320671
9172618
10106937
1173386
1251a75
133989c
142ad85
1521a42
hex1a1b9

106937 has 2 divisors, whose sum is σ = 106938. Its totient is φ = 106936.

The previous prime is 106921. The next prime is 106949. The reversal of 106937 is 739601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87616 + 19321 = 296^2 + 139^2 .

It is an emirp because it is prime and its reverse (739601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106937 - 24 = 106921 is a prime.

It is a super-2 number, since 2×1069372 = 22871043938, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (106907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53468 + 53469.

It is an arithmetic number, because the mean of its divisors is an integer number (53469).

2106937 is an apocalyptic number.

It is an amenable number.

106937 is a deficient number, since it is larger than the sum of its proper divisors (1).

106937 is an equidigital number, since it uses as much as digits as its factorization.

106937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 26.

The square root of 106937 is about 327.0122321871. The cubic root of 106937 is about 47.4652747123.

The spelling of 106937 in words is "one hundred six thousand, nine hundred thirty-seven".