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106709206673 is a prime number
BaseRepresentation
bin110001101100001011…
…1010100011010010001
3101012102202012100120202
41203120113110122101
53222020024103143
6121004352344545
710465232201546
oct1433027243221
9335382170522
10106709206673
1141289624403
1218820845155
13a0a77bc314
145244122bcd
152b98262ab8
hex18d85d4691

106709206673 has 2 divisors, whose sum is σ = 106709206674. Its totient is φ = 106709206672.

The previous prime is 106709206633. The next prime is 106709206711. The reversal of 106709206673 is 376602907601.

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., 82258255249 + 24450951424 = 286807^2 + 156368^2 .

It is a cyclic number.

It is not a de Polignac number, because 106709206673 - 26 = 106709206609 is a prime.

It is a super-2 number, since 2×1067092066732 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106709206603) 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, 53354603336 + 53354603337.

It is an arithmetic number, because the mean of its divisors is an integer number (53354603337).

Almost surely, 2106709206673 is an apocalyptic number.

It is an amenable number.

106709206673 is a deficient number, since it is larger than the sum of its proper divisors (1).

106709206673 is an equidigital number, since it uses as much as digits as its factorization.

106709206673 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 571536, while the sum is 47.

The spelling of 106709206673 in words is "one hundred six billion, seven hundred nine million, two hundred six thousand, six hundred seventy-three".