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106043129 is a prime number
BaseRepresentation
bin1100101001000…
…01011011111001
321101112112211022
412110201123321
5204121340004
614304512225
72425231433
oct624413371
9241475738
10106043129
1154949855
122b61b675
1318c7b31a
1410125653
15949a2be
hex65216f9

106043129 has 2 divisors, whose sum is σ = 106043130. Its totient is φ = 106043128.

The previous prime is 106043107. The next prime is 106043137. The reversal of 106043129 is 921340601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103327225 + 2715904 = 10165^2 + 1648^2 .

It is a cyclic number.

It is not a de Polignac number, because 106043129 - 220 = 104994553 is a prime.

It is a super-2 number, since 2×1060431292 = 22490290416221282, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 106043098 and 106043107.

It is not a weakly prime, because it can be changed into another prime (106043149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53021564 + 53021565.

It is an arithmetic number, because the mean of its divisors is an integer number (53021565).

Almost surely, 2106043129 is an apocalyptic number.

It is an amenable number.

106043129 is a deficient number, since it is larger than the sum of its proper divisors (1).

106043129 is an equidigital number, since it uses as much as digits as its factorization.

106043129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 106043129 is about 10297.7244573741. The cubic root of 106043129 is about 473.3265269911.

The spelling of 106043129 in words is "one hundred six million, forty-three thousand, one hundred twenty-nine".