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106365304110 = 235134161109049
BaseRepresentation
bin110001100001111011…
…1011011110100101110
3101011112210002021221210
41203003313123310232
53220314004212420
6120510305335250
710453555111302
oct1430367336456
9334483067853
10106365304110
114112249430a
1218745637526
13a05148c590
1452105a1d02
152b77e809e0
hex18c3ddbd2e

106365304110 has 128 divisors (see below), whose sum is σ = 286237929600. Its totient is φ = 25124659200.

The previous prime is 106365304109. The next prime is 106365304127. The reversal of 106365304110 is 11403563601.

It is a super-2 number, since 2×1063653041102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 920866 + ... + 1029914.

It is an arithmetic number, because the mean of its divisors is an integer number (2236233825).

Almost surely, 2106365304110 is an apocalyptic number.

106365304110 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 106365304110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143118964800).

106365304110 is an abundant number, since it is smaller than the sum of its proper divisors (179872625490).

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

106365304110 is a wasteful number, since it uses less digits than its factorization.

106365304110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109174.

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 106365304110 its reverse (11403563601), we get a palindrome (117768867711).

The spelling of 106365304110 in words is "one hundred six billion, three hundred sixty-five million, three hundred four thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 41 61 65 78 82 122 123 130 183 195 205 246 305 366 390 410 533 610 615 793 915 1066 1230 1586 1599 1830 2379 2501 2665 3198 3965 4758 5002 5330 7503 7930 7995 11895 12505 15006 15990 23790 25010 32513 37515 65026 75030 97539 109049 162565 195078 218098 325130 327147 487695 545245 654294 975390 1090490 1417637 1635735 2835274 3271470 4252911 4471009 6651989 7088185 8505822 8942018 13303978 13413027 14176370 19955967 21264555 22355045 26826054 33259945 39911934 42529110 44710090 58123117 66519890 67065135 86475857 99779835 116246234 134130270 172951714 174369351 199559670 259427571 272731549 290615585 348738702 432379285 518855142 545463098 581231170 818194647 864758570 871846755 1297137855 1363657745 1636389294 1743693510 2594275710 2727315490 3545510137 4090973235 7091020274 8181946470 10636530411 17727550685 21273060822 35455101370 53182652055 106365304110