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106112 = 27829
BaseRepresentation
bin11001111010000000
312101120002
4121322000
511343422
62135132
7621236
oct317200
9171502
10106112
11727a6
12514a8
13393b6
142a956
1521692
hex19e80

106112 has 16 divisors (see below), whose sum is σ = 211650. Its totient is φ = 52992.

The previous prime is 106109. The next prime is 106121. The reversal of 106112 is 211601.

It can be written as a sum of positive squares in only one way, i.e., 87616 + 18496 = 296^2 + 136^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×1061122 = 22519513088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106093 and 106102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 287 + ... + 542.

2106112 is an apocalyptic number.

It is an amenable number.

106112 is a deficient number, since it is larger than the sum of its proper divisors (105538).

106112 is an frugal number, since it uses more digits than its factorization.

106112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 106112 is about 325.7483691440. The cubic root of 106112 is about 47.3428974039.

Adding to 106112 its reverse (211601), we get a palindrome (317713).

The spelling of 106112 in words is "one hundred six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 829 1658 3316 6632 13264 26528 53056 106112