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106047 = 3211783
BaseRepresentation
bin11001111000111111
312101110200
4121320333
511343142
62134543
7621114
oct317077
9171420
10106047
1172747
1251453
1339366
142a90b
152164c
hex19e3f

106047 has 6 divisors (see below), whose sum is σ = 153192. Its totient is φ = 70692.

The previous prime is 106033. The next prime is 106087. The reversal of 106047 is 740601.

It is not a de Polignac number, because 106047 - 24 = 106031 is a prime.

It is a super-2 number, since 2×1060472 = 22491932418, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106087) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5883 + ... + 5900.

It is an arithmetic number, because the mean of its divisors is an integer number (25532).

2106047 is an apocalyptic number.

106047 is a deficient number, since it is larger than the sum of its proper divisors (47145).

106047 is a wasteful number, since it uses less digits than its factorization.

106047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11789 (or 11786 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 106047 is about 325.6485835989. The cubic root of 106047 is about 47.3332286361. Note that the first 3 decimals are identical.

Adding to 106047 its reverse (740601), we get a palindrome (846648).

The spelling of 106047 in words is "one hundred six thousand, forty-seven".

Divisors: 1 3 9 11783 35349 106047