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106811849 is a prime number
BaseRepresentation
bin1100101110111…
…01000111001001
321102222121022102
412113131013021
5204320434344
614333203145
72434612544
oct627350711
9242877272
10106811849
1155324361
122b9304b5
131918a1a1
141028585b
15959ce4e
hex65dd1c9

106811849 has 2 divisors, whose sum is σ = 106811850. Its totient is φ = 106811848.

The previous prime is 106811827. The next prime is 106811851. The reversal of 106811849 is 948118601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106234249 + 577600 = 10307^2 + 760^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106811849 is a prime.

It is a super-2 number, since 2×1068118492 = 22817542173597602, which contains 22 as substring.

Together with 106811851, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (106811819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53405924 + 53405925.

It is an arithmetic number, because the mean of its divisors is an integer number (53405925).

Almost surely, 2106811849 is an apocalyptic number.

It is an amenable number.

106811849 is a deficient number, since it is larger than the sum of its proper divisors (1).

106811849 is an equidigital number, since it uses as much as digits as its factorization.

106811849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 38.

The square root of 106811849 is about 10334.9818093696. The cubic root of 106811849 is about 474.4675089150.

The spelling of 106811849 in words is "one hundred six million, eight hundred eleven thousand, eight hundred forty-nine".