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105303156 = 223723153109
BaseRepresentation
bin1100100011011…
…00110001110100
321100010221202220
412101230301310
5203424200111
614241002340
72416030200
oct621546164
9240127686
10105303156
1154493902
122b3233b0
1318a7c57a
14ddb1b00
1593a0e06
hex646cc74

105303156 has 144 divisors (see below), whose sum is σ = 303367680. Its totient is φ = 28304640.

The previous prime is 105303139. The next prime is 105303167. The reversal of 105303156 is 651303501.

It is a super-2 number, since 2×1053031562 = 22177509327120672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 966030 + ... + 966138.

It is an arithmetic number, because the mean of its divisors is an integer number (2106720).

Almost surely, 2105303156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105303156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151683840).

105303156 is an abundant number, since it is smaller than the sum of its proper divisors (198064524).

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

105303156 is a wasteful number, since it uses less digits than its factorization.

105303156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 105303156 is about 10261.7326022461. The cubic root of 105303156 is about 472.2229926405. Note that the first 3 decimals are identical.

Adding to 105303156 its reverse (651303501), we get a palindrome (756606657).

The spelling of 105303156 in words is "one hundred five million, three hundred three thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 53 62 84 93 98 106 109 124 147 159 186 196 212 217 218 294 318 327 371 372 434 436 588 636 651 654 742 763 868 1113 1302 1308 1484 1519 1526 1643 2226 2289 2597 2604 3038 3052 3286 3379 4452 4557 4578 4929 5194 5341 5777 6076 6572 6758 7791 9114 9156 9858 10137 10388 10682 11501 11554 13516 15582 16023 17331 18228 19716 20274 21364 23002 23108 23653 31164 32046 34503 34662 40439 40548 46004 47306 64092 69006 69324 70959 80507 80878 94612 121317 138012 141918 161014 161756 165571 179087 241521 242634 283073 283836 322028 331142 358174 483042 485268 496713 537261 566146 662284 716348 849219 966084 993426 1074522 1132292 1253609 1698438 1986852 2149044 2507218 3396876 3760827 5014436 7521654 8775263 15043308 17550526 26325789 35101052 52651578 105303156