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105415230 = 23519792341
BaseRepresentation
bin1100100100010…
…00001000111110
321100100122111210
412102020020332
5203441241410
614243225250
72420005014
oct622101076
9240318453
10105415230
1154560028
122b378226
1318abb59b
14100008b4
1593c4220
hex648823e

105415230 has 64 divisors (see below), whose sum is σ = 269798400. Its totient is φ = 26282880.

The previous prime is 105415217. The next prime is 105415253. The reversal of 105415230 is 32514501.

It is a super-2 number, since 2×1054152302 = 22224741431905800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105415197 and 105415206.

It is a congruent number.

It is an unprimeable 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 31 ways as a sum of consecutive naturals, for example, 43860 + ... + 46200.

It is an arithmetic number, because the mean of its divisors is an integer number (4215600).

Almost surely, 2105415230 is an apocalyptic number.

105415230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105415230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134899200).

105415230 is an abundant number, since it is smaller than the sum of its proper divisors (164383170).

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

105415230 is a wasteful number, since it uses less digits than its factorization.

105415230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 105415230 is about 10267.1919237930. The cubic root of 105415230 is about 472.3904619965.

Adding to 105415230 its reverse (32514501), we get a palindrome (137929731).

The spelling of 105415230 in words is "one hundred five million, four hundred fifteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 79 95 114 158 190 237 285 395 474 570 790 1185 1501 2341 2370 3002 4503 4682 7023 7505 9006 11705 14046 15010 22515 23410 35115 44479 45030 70230 88958 133437 184939 222395 266874 369878 444790 554817 667185 924695 1109634 1334370 1849390 2774085 3513841 5548170 7027682 10541523 17569205 21083046 35138410 52707615 105415230