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105230000 = 245417619
BaseRepresentation
bin1100100010110…
…10111010110000
321100000020102102
412101122322300
5203414330000
614235235532
72415304001
oct621327260
9240006372
10105230000
1154443947
122b2a8ba8
1318a55195
14dd931a8
1593893d5
hex645aeb0

105230000 has 100 divisors (see below), whose sum is σ = 270194760. Its totient is φ = 39552000.

The previous prime is 105229997. The next prime is 105230003. The reversal of 105230000 is 32501.

It is an interprime number because it is at equal distance from previous prime (105229997) and next prime (105230003).

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×1052300002 = 22146705800000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105230003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 169691 + ... + 170309.

Almost surely, 2105230000 is an apocalyptic number.

105230000 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 105230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135097380).

105230000 is an abundant number, since it is smaller than the sum of its proper divisors (164964760).

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

105230000 is an equidigital number, since it uses as much as digits as its factorization.

105230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 105230000 is about 10258.1674776736. The cubic root of 105230000 is about 472.1136133666.

Adding to 105230000 its reverse (32501), we get a palindrome (105262501).

The spelling of 105230000 in words is "one hundred five million, two hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 619 625 680 850 1000 1238 1250 1360 1700 2000 2125 2476 2500 3095 3400 4250 4952 5000 6190 6800 8500 9904 10000 10523 10625 12380 15475 17000 21046 21250 24760 30950 34000 42092 42500 49520 52615 61900 77375 84184 85000 105230 123800 154750 168368 170000 210460 247600 263075 309500 386875 420920 526150 619000 773750 841840 1052300 1238000 1315375 1547500 2104600 2630750 3095000 4209200 5261500 6190000 6576875 10523000 13153750 21046000 26307500 52615000 105230000