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106005011867 is a prime number
BaseRepresentation
bin110001010111001100…
…1000001110110011011
3101010121200010112220122
41202232121001312123
53214044240334432
6120410435143455
710441621506506
oct1425631016633
9333550115818
10106005011867
1140a5807a427
1218664a44b8b
139cc49417c1
1451b87b613d
152b56512612
hex18ae641d9b

106005011867 has 2 divisors, whose sum is σ = 106005011868. Its totient is φ = 106005011866.

The previous prime is 106005011851. The next prime is 106005011881. The reversal of 106005011867 is 768110500601.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 106005011867 - 24 = 106005011851 is a prime.

It is a super-2 number, since 2×1060050118672 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106005011887) 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, 53002505933 + 53002505934.

It is an arithmetic number, because the mean of its divisors is an integer number (53002505934).

Almost surely, 2106005011867 is an apocalyptic number.

106005011867 is a deficient number, since it is larger than the sum of its proper divisors (1).

106005011867 is an equidigital number, since it uses as much as digits as its factorization.

106005011867 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 35.

The spelling of 106005011867 in words is "one hundred six billion, five million, eleven thousand, eight hundred sixty-seven".