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106330 = 257331
BaseRepresentation
bin11001111101011010
312101212011
4121331122
511400310
62140134
7622000
oct317532
9171764
10106330
1172984
125164a
1339523
142aa70
152178a
hex19f5a

106330 has 32 divisors (see below), whose sum is σ = 230400. Its totient is φ = 35280.

The previous prime is 106321. The next prime is 106331. The reversal of 106330 is 33601.

Subtracting from 106330 its product of nonzero digits (54), we obtain a square (106276 = 3262).

Adding to 106330 its reverse (33601), we get a palindrome (139931).

It can be divided in two parts, 106 and 330, that multiplied together give a triangular number (34980 = T264).

It is a super-2 number, since 2×1063302 = 22612137800, which contains 22 as substring.

It is a nialpdrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 106330.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106331) by changing a digit.

106330 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3415 + ... + 3445.

It is an arithmetic number, because the mean of its divisors is an integer number (7200).

2106330 is an apocalyptic number.

106330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106330 is an abundant number, since it is smaller than the sum of its proper divisors (124070).

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

106330 is an equidigital number, since it uses as much as digits as its factorization.

106330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 106330 is about 326.0828115679. The cubic root of 106330 is about 47.3752961647.

The spelling of 106330 in words is "one hundred six thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 31 35 49 62 70 98 155 217 245 310 343 434 490 686 1085 1519 1715 2170 3038 3430 7595 10633 15190 21266 53165 106330