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106320 = 2435443
BaseRepresentation
bin11001111101010000
312101211210
4121331100
511400240
62140120
7621654
oct317520
9171753
10106320
1172975
1251640
1339516
142aa64
1521780
hex19f50

106320 has 40 divisors (see below), whose sum is σ = 330336. Its totient is φ = 28288.

The previous prime is 106319. The next prime is 106321. The reversal of 106320 is 23601.

Adding to 106320 its reverse (23601), we get a palindrome (129921).

It is an interprime number because it is at equal distance from previous prime (106319) and next prime (106321).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1063202 = 22607884800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 106296 and 106305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19 + ... + 461.

2106320 is an apocalyptic number.

106320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165168).

106320 is an abundant number, since it is smaller than the sum of its proper divisors (224016).

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

106320 is a wasteful number, since it uses less digits than its factorization.

106320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 106320 is about 326.0674776791. The cubic root of 106320 is about 47.3738109526.

The spelling of 106320 in words is "one hundred six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 443 886 1329 1772 2215 2658 3544 4430 5316 6645 7088 8860 10632 13290 17720 21264 26580 35440 53160 106320