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106673 = 73311
BaseRepresentation
bin11010000010110001
312102022212
4122002301
511403143
62141505
7623000
oct320261
9172285
10106673
1173166
1251895
1339728
142ac37
1521918
hex1a0b1

106673 has 8 divisors (see below), whose sum is σ = 124800. Its totient is φ = 91140.

The previous prime is 106669. The next prime is 106681. The reversal of 106673 is 376601.

It is not a de Polignac number, because 106673 - 22 = 106669 is a prime.

It is a super-2 number, since 2×1066732 = 22758257858, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106663) by changing a digit.

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 in 7 ways as a sum of consecutive naturals, for example, 188 + ... + 498.

It is an arithmetic number, because the mean of its divisors is an integer number (15600).

2106673 is an apocalyptic number.

It is an amenable number.

106673 is a deficient number, since it is larger than the sum of its proper divisors (18127).

106673 is an frugal number, since it uses more digits than its factorization.

106673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 106673 is about 326.6083281241. The cubic root of 106673 is about 47.4261826659.

The spelling of 106673 in words is "one hundred six thousand, six hundred seventy-three".

Divisors: 1 7 49 311 343 2177 15239 106673