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103064550 = 23521929243
BaseRepresentation
bin1100010010010…
…10001111100110
321011221012222120
412021022033212
5202341031200
614121010410
72361014511
oct611121746
9234835876
10103064550
11531a4a16
122a623a06
1318477654
14d98bd78
1590ac9a0
hex624a3e6

103064550 has 144 divisors (see below), whose sum is σ = 285130560. Its totient is φ = 24554880.

The previous prime is 103064543. The next prime is 103064567. The reversal of 103064550 is 55460301.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 103064550.

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 71 ways as a sum of consecutive naturals, for example, 2396829 + ... + 2396871.

Almost surely, 2103064550 is an apocalyptic number.

103064550 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 103064550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142565280).

103064550 is an abundant number, since it is smaller than the sum of its proper divisors (182066010).

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

103064550 is a wasteful number, since it uses less digits than its factorization.

103064550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 103064550 is about 10152.0712172443. The cubic root of 103064550 is about 468.8527170456.

The spelling of 103064550 in words is "one hundred three million, sixty-four thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 29 30 38 43 50 57 58 75 86 87 95 114 129 145 150 174 190 215 258 285 290 430 435 475 551 570 645 725 817 841 870 950 1075 1102 1247 1290 1425 1450 1634 1653 1682 2150 2175 2451 2494 2523 2755 2850 3225 3306 3741 4085 4205 4350 4902 5046 5510 6235 6450 7482 8170 8265 8410 12255 12470 12615 13775 15979 16530 18705 20425 21025 23693 24510 25230 27550 31175 31958 36163 37410 40850 41325 42050 47386 47937 61275 62350 63075 71079 72326 79895 82650 93525 95874 108489 118465 122550 126150 142158 159790 180815 187050 216978 236930 239685 355395 361630 399475 479370 542445 592325 687097 710790 798950 904075 1084890 1184650 1198425 1374194 1776975 1808150 2061291 2396850 2712225 3435485 3553950 4122582 5424450 6870970 10306455 17177425 20612910 34354850 51532275 103064550