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106058312167 is a prime number
BaseRepresentation
bin110001011000110010…
…0010110100111100111
3101010202101102111011211
41202301210112213213
53214201411442132
6120420021412251
710443136531123
oct1426144264747
9333671374154
10106058312167
1140a85174765
121867a86a087
13a0029b4142
1451c18cc583
152b5b040147
hex18b19169e7

106058312167 has 2 divisors, whose sum is σ = 106058312168. Its totient is φ = 106058312166.

The previous prime is 106058312093. The next prime is 106058312177. The reversal of 106058312167 is 761213850601.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 106058312167 - 223 = 106049923559 is a prime.

It is a super-2 number, since 2×1060583121672 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106058312177) 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, 53029156083 + 53029156084.

It is an arithmetic number, because the mean of its divisors is an integer number (53029156084).

Almost surely, 2106058312167 is an apocalyptic number.

106058312167 is a deficient number, since it is larger than the sum of its proper divisors (1).

106058312167 is an equidigital number, since it uses as much as digits as its factorization.

106058312167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 106058312167 in words is "one hundred six billion, fifty-eight million, three hundred twelve thousand, one hundred sixty-seven".