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106113229 is a prime number
BaseRepresentation
bin1100101001100…
…10100011001101
321101200002222121
412110302203031
5204131110404
614310212541
72425643005
oct624624315
9241602877
10106113229
1154997492
122b654151
1318ca41c1
1410143005
1594b0e54
hex65328cd

106113229 has 2 divisors, whose sum is σ = 106113230. Its totient is φ = 106113228.

The previous prime is 106113223. The next prime is 106113257. The reversal of 106113229 is 922311601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59259204 + 46854025 = 7698^2 + 6845^2 .

It is a cyclic number.

It is not a de Polignac number, because 106113229 - 217 = 105982157 is a prime.

It is a super-2 number, since 2×1061132292 = 22520034737612882, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106113223) 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, 53056614 + 53056615.

It is an arithmetic number, because the mean of its divisors is an integer number (53056615).

Almost surely, 2106113229 is an apocalyptic number.

It is an amenable number.

106113229 is a deficient number, since it is larger than the sum of its proper divisors (1).

106113229 is an equidigital number, since it uses as much as digits as its factorization.

106113229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 106113229 is about 10301.1275596412. The cubic root of 106113229 is about 473.4308017997.

The spelling of 106113229 in words is "one hundred six million, one hundred thirteen thousand, two hundred twenty-nine".