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106083327 = 3719265873
BaseRepresentation
bin1100101001010…
…11001111111111
321101121120222010
412110223033333
5204124131302
614305422303
72425456560
oct624531777
9241546863
10106083327
1154976a79
122b63a993
1318c936cc
1410136167
1594a716c
hex652b3ff

106083327 has 16 divisors (see below), whose sum is σ = 170159360. Its totient is φ = 57428352.

The previous prime is 106083319. The next prime is 106083343. The reversal of 106083327 is 723380601.

It is not a de Polignac number, because 106083327 - 23 = 106083319 is a prime.

It is a super-2 number, since 2×1060833272 = 22507344534777858, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106083294 and 106083303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106083317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132538 + ... + 133335.

It is an arithmetic number, because the mean of its divisors is an integer number (10634960).

Almost surely, 2106083327 is an apocalyptic number.

106083327 is a deficient number, since it is larger than the sum of its proper divisors (64076033).

106083327 is a wasteful number, since it uses less digits than its factorization.

106083327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265902.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 106083327 is about 10299.6760628672. The cubic root of 106083327 is about 473.3863277415.

The spelling of 106083327 in words is "one hundred six million, eighty-three thousand, three hundred twenty-seven".

Divisors: 1 3 7 19 21 57 133 399 265873 797619 1861111 5051587 5583333 15154761 35361109 106083327