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106184 = 23131021
BaseRepresentation
bin11001111011001000
312101122202
4121323020
511344214
62135332
7621401
oct317310
9171582
10106184
1172861
1251548
1339440
142a9a8
15216de
hex19ec8

106184 has 16 divisors (see below), whose sum is σ = 214620. Its totient is φ = 48960.

The previous prime is 106181. The next prime is 106187. The reversal of 106184 is 481601.

It is an interprime number because it is at equal distance from previous prime (106181) and next prime (106187).

It can be written as a sum of positive squares in 2 ways, for example, as 103684 + 2500 = 322^2 + 50^2 .

It is a super-3 number, since 3×1061843 = 3591687133312512, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (106181) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 407 + ... + 614.

2106184 is an apocalyptic number.

It is an amenable number.

106184 is an abundant number, since it is smaller than the sum of its proper divisors (108436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106184 is a wasteful number, since it uses less digits than its factorization.

106184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 106184 is about 325.8588651548. The cubic root of 106184 is about 47.3536028156.

Adding to 106184 its reverse (481601), we get a palindrome (587785).

The spelling of 106184 in words is "one hundred six thousand, one hundred eighty-four".

Divisors: 1 2 4 8 13 26 52 104 1021 2042 4084 8168 13273 26546 53092 106184