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102543084 = 2235722153
BaseRepresentation
bin1100001110010…
…10111011101100
321010221201200000
412013022323230
5202222334314
614101504300
72353413300
oct607127354
9233851600
10102543084
1152979156
122a412090
13183241a7
14d893d00
159008209
hex61caeec

102543084 has 108 divisors (see below), whose sum is σ = 312838344. Its totient is φ = 29284416.

The previous prime is 102543083. The next prime is 102543113. The reversal of 102543084 is 480345201.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (102543083) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46552 + ... + 48704.

Almost surely, 2102543084 is an apocalyptic number.

102543084 is a gapful number since it is divisible by the number (14) 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 102543084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156419172).

102543084 is an abundant number, since it is smaller than the sum of its proper divisors (210295260).

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

102543084 is a wasteful number, since it uses less digits than its factorization.

102543084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 102543084 is about 10126.3559092104. The cubic root of 102543084 is about 468.0606430292.

Adding to 102543084 its reverse (480345201), we get a palindrome (582888285).

The spelling of 102543084 in words is "one hundred two million, five hundred forty-three thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 243 252 294 324 378 441 486 567 588 756 882 972 1134 1323 1701 1764 2153 2268 2646 3402 3969 4306 5292 6459 6804 7938 8612 11907 12918 15071 15876 19377 23814 25836 30142 38754 45213 47628 58131 60284 77508 90426 105497 116262 135639 174393 180852 210994 232524 271278 316491 348786 406917 421988 523179 542556 632982 697572 813834 949473 1046358 1220751 1265964 1627668 1898946 2092716 2441502 2848419 3662253 3797892 4883004 5696838 7324506 8545257 11393676 14649012 17090514 25635771 34181028 51271542 102543084