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106612673 is a prime number
BaseRepresentation
bin1100101101011…
…00011111000001
321102121111002112
412112230133001
5204243101143
614325025105
72433123056
oct626543701
9242544075
10106612673
11551a8752
122b855195
131911a62b
141023302d
15955de18
hex65ac7c1

106612673 has 2 divisors, whose sum is σ = 106612674. Its totient is φ = 106612672.

The previous prime is 106612663. The next prime is 106612679. The reversal of 106612673 is 376216601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66455104 + 40157569 = 8152^2 + 6337^2 .

It is a cyclic number.

It is not a de Polignac number, because 106612673 - 212 = 106608577 is a prime.

It is a super-2 number, since 2×1066126732 = 22732524088409858, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106612679) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53306336 + 53306337.

It is an arithmetic number, because the mean of its divisors is an integer number (53306337).

Almost surely, 2106612673 is an apocalyptic number.

It is an amenable number.

106612673 is a deficient number, since it is larger than the sum of its proper divisors (1).

106612673 is an equidigital number, since it uses as much as digits as its factorization.

106612673 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 106612673 is about 10325.3413018650. The cubic root of 106612673 is about 474.1724063799.

The spelling of 106612673 in words is "one hundred six million, six hundred twelve thousand, six hundred seventy-three".