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106935529 is a prime number
BaseRepresentation
bin1100101111110…
…11010011101001
321110012212222011
412113323103221
5204333414104
614335555521
72435636251
oct627732351
9243185864
10106935529
11553a9278
122b98bba1
131920157c
14102b8961
1595c4904
hex65fb4e9

106935529 has 2 divisors, whose sum is σ = 106935530. Its totient is φ = 106935528.

The previous prime is 106935469. The next prime is 106935541. The reversal of 106935529 is 925539601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56851600 + 50083929 = 7540^2 + 7077^2 .

It is a cyclic number.

It is not a de Polignac number, because 106935529 - 211 = 106933481 is a prime.

It is a super-2 number, since 2×1069355292 = 22870414725019682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106935491 and 106935500.

It is not a weakly prime, because it can be changed into another prime (106935589) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53467764 + 53467765.

It is an arithmetic number, because the mean of its divisors is an integer number (53467765).

Almost surely, 2106935529 is an apocalyptic number.

It is an amenable number.

106935529 is a deficient number, since it is larger than the sum of its proper divisors (1).

106935529 is an equidigital number, since it uses as much as digits as its factorization.

106935529 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72900, while the sum is 40.

The square root of 106935529 is about 10340.9636398162. The cubic root of 106935529 is about 474.6505707095.

The spelling of 106935529 in words is "one hundred six million, nine hundred thirty-five thousand, five hundred twenty-nine".