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106414673 is a prime number
BaseRepresentation
bin1100101011111…
…00001001010001
321102020102111012
412111330021101
5204220232143
614320500305
72431336601
oct625741121
9242212435
10106414673
1155082a12
122b77a695
131907b481
14101c0c01
159520418
hex657c251

106414673 has 2 divisors, whose sum is σ = 106414674. Its totient is φ = 106414672.

The previous prime is 106414667. The next prime is 106414703. The reversal of 106414673 is 376414601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86638864 + 19775809 = 9308^2 + 4447^2 .

It is an emirp because it is prime and its reverse (376414601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106414673 - 24 = 106414657 is a prime.

It is a super-2 number, since 2×1064146732 = 22648165259393858, which contains 22 as substring.

It is equal to p6109178 and since 106414673 and 6109178 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (106414663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53207336 + 53207337.

It is an arithmetic number, because the mean of its divisors is an integer number (53207337).

Almost surely, 2106414673 is an apocalyptic number.

It is an amenable number.

106414673 is a deficient number, since it is larger than the sum of its proper divisors (1).

106414673 is an equidigital number, since it uses as much as digits as its factorization.

106414673 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 106414673 is about 10315.7487852312. The cubic root of 106414673 is about 473.8786817055.

The spelling of 106414673 in words is "one hundred six million, four hundred fourteen thousand, six hundred seventy-three".