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106651111125 = 35313197315773
BaseRepresentation
bin110001101010011100…
…1101100111011010101
3101012021200212210110210
41203110321230323111
53221410141024000
6120554515240033
710463625326016
oct1432471547325
9335250783423
10106651111125
1141259854359
12188052a9019
13a09875b160
14523a51d00d
152b930d9350
hex18d4e6ced5

106651111125 has 128 divisors (see below), whose sum is σ = 203946462720. Its totient is φ = 49057228800.

The previous prime is 106651111097. The next prime is 106651111129. The reversal of 106651111125 is 521111156601.

It is not a de Polignac number, because 106651111125 - 27 = 106651110997 is a prime.

It is a super-2 number, since 2×1066511111252 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106651111092 and 106651111101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106651111129) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6753739 + ... + 6769511.

It is an arithmetic number, because the mean of its divisors is an integer number (1593331740).

Almost surely, 2106651111125 is an apocalyptic number.

106651111125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106651111125 is a deficient number, since it is larger than the sum of its proper divisors (97295351595).

106651111125 is a wasteful number, since it uses less digits than its factorization.

106651111125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15896 (or 15886 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 30.

Adding to 106651111125 its reverse (521111156601), we get a palindrome (627762267726).

The spelling of 106651111125 in words is "one hundred six billion, six hundred fifty-one million, one hundred eleven thousand, one hundred twenty-five".

Divisors: 1 3 5 13 15 19 25 39 57 65 73 75 95 125 195 219 247 285 325 365 375 475 741 949 975 1095 1235 1387 1425 1625 1825 2375 2847 3705 4161 4745 4875 5475 6175 6935 7125 9125 14235 15773 18031 18525 20805 23725 27375 30875 34675 47319 54093 71175 78865 90155 92625 104025 118625 173375 205049 236595 270465 299687 355875 394325 450775 520125 615147 899061 1025245 1151429 1182975 1352325 1498435 1971625 2253875 3075735 3454287 3895931 4495305 5126225 5757145 5914875 6761625 7492175 11687793 14968577 15378675 17271435 19479655 21877151 22476525 25631125 28785725 37460875 44905731 58438965 65631453 74842885 76893375 86357175 97398275 109385755 112382625 143928625 224528655 284402963 292194825 328157265 374214425 431785875 486991375 546928775 853208889 1122643275 1422014815 1460974125 1640786325 1871072125 2734643875 4266044445 5613216375 7110074075 8203931625 21330222225 35550370375 106651111125