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106636729 is a prime number
BaseRepresentation
bin1100101101100…
…10010110111001
321102122201002111
412112302112321
5204244333404
614325332321
72433253153
oct626622671
9242581074
10106636729
1155214831
122b8670a1
1319128574
141023bad3
159566104
hex65b25b9

106636729 has 2 divisors, whose sum is σ = 106636730. Its totient is φ = 106636728.

The previous prime is 106636703. The next prime is 106636793. The reversal of 106636729 is 927636601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102475129 + 4161600 = 10123^2 + 2040^2 .

It is a cyclic number.

It is not a de Polignac number, because 106636729 - 213 = 106628537 is a prime.

It is a super-2 number, since 2×1066367292 = 22742783943638882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106636691 and 106636700.

It is not a weakly prime, because it can be changed into another prime (106630729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53318364 + 53318365.

It is an arithmetic number, because the mean of its divisors is an integer number (53318365).

Almost surely, 2106636729 is an apocalyptic number.

It is an amenable number.

106636729 is a deficient number, since it is larger than the sum of its proper divisors (1).

106636729 is an equidigital number, since it uses as much as digits as its factorization.

106636729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81648, while the sum is 40.

The square root of 106636729 is about 10326.5061371211. The cubic root of 106636729 is about 474.2080676612.

The spelling of 106636729 in words is "one hundred six million, six hundred thirty-six thousand, seven hundred twenty-nine".