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106873478669 is a prime number
BaseRepresentation
bin110001110001000100…
…1111101111000001101
3101012212012022020101202
41203202021331320031
53222334102304134
6121032541315245
710502265402626
oct1434211757015
9335765266352
10106873478669
1141363324391
1218867865b25
13a102847399
14525bc84a4d
152ba78b0d7e
hex18e227de0d

106873478669 has 2 divisors, whose sum is σ = 106873478670. Its totient is φ = 106873478668.

The previous prime is 106873478653. The next prime is 106873478671. The reversal of 106873478669 is 966874378601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93796412644 + 13077066025 = 306262^2 + 114355^2 .

It is a cyclic number.

It is not a de Polignac number, because 106873478669 - 24 = 106873478653 is a prime.

It is a super-2 number, since 2×1068734786692 (a number of 23 digits) contains 22 as substring.

Together with 106873478671, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106873478069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53436739334 + 53436739335.

It is an arithmetic number, because the mean of its divisors is an integer number (53436739335).

Almost surely, 2106873478669 is an apocalyptic number.

It is an amenable number.

106873478669 is a deficient number, since it is larger than the sum of its proper divisors (1).

106873478669 is an equidigital number, since it uses as much as digits as its factorization.

106873478669 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 73156608, while the sum is 65.

The spelling of 106873478669 in words is "one hundred six billion, eight hundred seventy-three million, four hundred seventy-eight thousand, six hundred sixty-nine".