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108012110640 = 24357202931687
BaseRepresentation
bin110010010011000000…
…1100000001100110000
3101022210112211201211020
41210212001200030300
53232202100020030
6121341534215440
710542432535440
oct1444601401460
9338715751736
10108012110640
1141898025445
1218b25054580
13a254703005
14532919c120
152c22828510
hex1926060330

108012110640 has 160 divisors (see below), whose sum is σ = 382872161280. Its totient is φ = 24675535872.

The previous prime is 108012110617. The next prime is 108012110659. The reversal of 108012110640 is 46011210801.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 108012110640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3392877 + ... + 3424563.

It is an arithmetic number, because the mean of its divisors is an integer number (2392951008).

Almost surely, 2108012110640 is an apocalyptic number.

108012110640 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 108012110640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191436080640).

108012110640 is an abundant number, since it is smaller than the sum of its proper divisors (274860050640).

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

108012110640 is a wasteful number, since it uses less digits than its factorization.

108012110640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33739 (or 33733 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The spelling of 108012110640 in words is "one hundred eight billion, twelve million, one hundred ten thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 2029 4058 6087 8116 10145 12174 14203 16232 20290 24348 28406 30435 31687 32464 40580 42609 48696 56812 60870 63374 71015 81160 85218 95061 97392 113624 121740 126748 142030 158435 162320 170436 190122 213045 221809 227248 243480 253496 284060 316870 340872 380244 426090 443618 475305 486960 506992 568120 633740 665427 681744 760488 852180 887236 950610 1109045 1136240 1267480 1330854 1520976 1704360 1774472 1901220 2218090 2534960 2661708 3327135 3408720 3548944 3802440 4436180 5323416 6654270 7604880 8872360 10646832 13308540 17744720 26617080 53234160 64292923 128585846 192878769 257171692 321464615 385757538 450050461 514343384 642929230 771515076 900100922 964393845 1028686768 1285858460 1350151383 1543030152 1800201844 1928787690 2250252305 2571716920 2700302766 3086060304 3600403688 3857575380 4500504610 5143433840 5400605532 6750756915 7200807376 7715150760 9001009220 10801211064 13501513830 15430301520 18002018440 21602422128 27003027660 36004036880 54006055320 108012110640