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10106665567 is a prime number
BaseRepresentation
bin10010110100110011…
…10111101001011111
3222002100110210202221
421122121313221133
5131144301244232
64350512530211
7505311145165
oct113231675137
928070423687
1010106665567
114316a49479
121b60850967
13c50b25bab
146bc3ab235
153e242c897
hex25a677a5f

10106665567 has 2 divisors, whose sum is σ = 10106665568. Its totient is φ = 10106665566.

The previous prime is 10106665549. The next prime is 10106665571. The reversal of 10106665567 is 76556660101.

It is a strong prime.

It is an emirp because it is prime and its reverse (76556660101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10106665567 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10106662567) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5053332783 + 5053332784.

It is an arithmetic number, because the mean of its divisors is an integer number (5053332784).

Almost surely, 210106665567 is an apocalyptic number.

10106665567 is a deficient number, since it is larger than the sum of its proper divisors (1).

10106665567 is an equidigital number, since it uses as much as digits as its factorization.

10106665567 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 226800, while the sum is 43.

The spelling of 10106665567 in words is "ten billion, one hundred six million, six hundred sixty-five thousand, five hundred sixty-seven".