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106129277 is a prime number
BaseRepresentation
bin1100101001101…
…10011101111101
321101200220222222
412110312131331
5204132114102
614310415125
72426040542
oct624663575
9241626888
10106129277
11549a8551
122b6614a5
1318cab5b7
1410148bc9
1594b5aa2
hex653677d

106129277 has 2 divisors, whose sum is σ = 106129278. Its totient is φ = 106129276.

The previous prime is 106129271. The next prime is 106129301. The reversal of 106129277 is 772921601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103754596 + 2374681 = 10186^2 + 1541^2 .

It is a cyclic number.

It is not a de Polignac number, because 106129277 - 28 = 106129021 is a prime.

It is a super-2 number, since 2×1061292772 = 22526846873085458, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106129271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53064638 + 53064639.

It is an arithmetic number, because the mean of its divisors is an integer number (53064639).

Almost surely, 2106129277 is an apocalyptic number.

It is an amenable number.

106129277 is a deficient number, since it is larger than the sum of its proper divisors (1).

106129277 is an equidigital number, since it uses as much as digits as its factorization.

106129277 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10584, while the sum is 35.

The square root of 106129277 is about 10301.9064740464. The cubic root of 106129277 is about 473.4546669816.

The spelling of 106129277 in words is "one hundred six million, one hundred twenty-nine thousand, two hundred seventy-seven".