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106993 is a prime number
BaseRepresentation
bin11010000111110001
312102202201
4122013301
511410433
62143201
7623635
oct320761
9172681
10106993
1173427
1251b01
1339913
142adc5
1521a7d
hex1a1f1

106993 has 2 divisors, whose sum is σ = 106994. Its totient is φ = 106992.

The previous prime is 106979. The next prime is 107021. The reversal of 106993 is 399601.

It is a happy number.

It is an a-pointer prime, because the next prime (107021) can be obtained adding 106993 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106929 + 64 = 327^2 + 8^2 .

It is an emirp because it is prime and its reverse (399601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106993 - 25 = 106961 is a prime.

It is a super-2 number, since 2×1069932 = 22895004098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53496 + 53497.

It is an arithmetic number, because the mean of its divisors is an integer number (53497).

2106993 is an apocalyptic number.

It is an amenable number.

106993 is a deficient number, since it is larger than the sum of its proper divisors (1).

106993 is an equidigital number, since it uses as much as digits as its factorization.

106993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 28.

The square root of 106993 is about 327.0978446887. The cubic root of 106993 is about 47.4735586911.

The spelling of 106993 in words is "one hundred six thousand, nine hundred ninety-three".