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106321997 is a prime number
BaseRepresentation
bin1100101011001…
…01100001001101
321102001201100202
412111211201031
5204204300442
614314503245
72430502445
oct625454115
9242051322
10106321997
115501a321
122b734b25
1319048232
1410199125
159502c32
hex656584d

106321997 has 2 divisors, whose sum is σ = 106321998. Its totient is φ = 106321996.

The previous prime is 106321973. The next prime is 106322009. The reversal of 106321997 is 799123601.

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., 105904681 + 417316 = 10291^2 + 646^2 .

It is an emirp because it is prime and its reverse (799123601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106321997 - 214 = 106305613 is a prime.

It is a super-2 number, since 2×1063219972 = 22608734092136018, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106321997.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106321907) 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, 53160998 + 53160999.

It is an arithmetic number, because the mean of its divisors is an integer number (53160999).

Almost surely, 2106321997 is an apocalyptic number.

It is an amenable number.

106321997 is a deficient number, since it is larger than the sum of its proper divisors (1).

106321997 is an equidigital number, since it uses as much as digits as its factorization.

106321997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20412, while the sum is 38.

The square root of 106321997 is about 10311.2558401002. The cubic root of 106321997 is about 473.7410755693.

The spelling of 106321997 in words is "one hundred six million, three hundred twenty-one thousand, nine hundred ninety-seven".