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106933 = 611753
BaseRepresentation
bin11010000110110101
312102200111
4122012311
511410213
62143021
7623521
oct320665
9172614
10106933
1173382
1251a71
1339898
142ad81
1521a3d
hex1a1b5

106933 has 4 divisors (see below), whose sum is σ = 108748. Its totient is φ = 105120.

The previous prime is 106921. The next prime is 106937. The reversal of 106933 is 339601.

It is the 134-th star number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 3249 + 103684 = 57^2 + 322^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106933 is a prime.

It is a super-2 number, since 2×1069332 = 22869332978, which contains 22 as substring.

It is a Duffinian number.

106933 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106937) 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, 816 + ... + 937.

It is an arithmetic number, because the mean of its divisors is an integer number (27187).

2106933 is an apocalyptic number.

It is an amenable number.

106933 is a deficient number, since it is larger than the sum of its proper divisors (1815).

106933 is an equidigital number, since it uses as much as digits as its factorization.

106933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814.

The product of its (nonzero) digits is 486, while the sum is 22.

The square root of 106933 is about 327.0061161508. The cubic root of 106933 is about 47.4646828889.

The spelling of 106933 in words is "one hundred six thousand, nine hundred thirty-three".

Divisors: 1 61 1753 106933