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106048 = 261657
BaseRepresentation
bin11001111001000000
312101110201
4121321000
511343143
62134544
7621115
oct317100
9171421
10106048
1172748
1251454
1339367
142a90c
152164d
hex19e40

106048 has 14 divisors (see below), whose sum is σ = 210566. Its totient is φ = 52992.

The previous prime is 106033. The next prime is 106087. The reversal of 106048 is 840601.

It can be written as a sum of positive squares in only one way, i.e., 82944 + 23104 = 288^2 + 152^2 .

It is a super-2 number, since 2×1060482 = 22492356608, which contains 22 as substring.

It is an unprimeable number.

106048 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 765 + ... + 892.

2106048 is an apocalyptic number.

It is an amenable number.

106048 is a deficient number, since it is larger than the sum of its proper divisors (104518).

106048 is an equidigital number, since it uses as much as digits as its factorization.

106048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 106048 is about 325.6501189928. The cubic root of 106048 is about 47.3333774163. Note that the first 4 decimals are identical.

Adding to 106048 its reverse (840601), we get a palindrome (946649).

The spelling of 106048 in words is "one hundred six thousand, forty-eight".

Divisors: 1 2 4 8 16 32 64 1657 3314 6628 13256 26512 53024 106048