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106827813 = 32172293049
BaseRepresentation
bin1100101111000…
…01000000100101
321110000102012200
412113201000211
5204321442223
614333405113
72435010231
oct627410045
9243012180
10106827813
1155335354
122b939799
1319194531
141028b5c1
1595a2a43
hex65e1025

106827813 has 24 divisors (see below), whose sum is σ = 164151000. Its totient is φ = 66714624.

The previous prime is 106827811. The next prime is 106827871. The reversal of 106827813 is 318728601.

It can be written as a sum of positive squares in 4 ways, for example, as 31606884 + 75220929 = 5622^2 + 8673^2 .

It is not a de Polignac number, because 106827813 - 21 = 106827811 is a prime.

It is a super-2 number, since 2×1068278132 = 22824363260725938, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106827811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33513 + ... + 36561.

It is an arithmetic number, because the mean of its divisors is an integer number (6839625).

Almost surely, 2106827813 is an apocalyptic number.

It is an amenable number.

106827813 is a deficient number, since it is larger than the sum of its proper divisors (57323187).

106827813 is a wasteful number, since it uses less digits than its factorization.

106827813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301 (or 3298 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 106827813 is about 10335.7541089173. The cubic root of 106827813 is about 474.4911455623.

The spelling of 106827813 in words is "one hundred six million, eight hundred twenty-seven thousand, eight hundred thirteen".

Divisors: 1 3 9 17 51 153 229 687 2061 3049 3893 9147 11679 27441 35037 51833 155499 466497 698221 2094663 6283989 11869757 35609271 106827813