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106161831160 = 23571137931571
BaseRepresentation
bin110001011011110111…
…1001111110011111000
3101011000121012210112121
41202313233033303320
53214404412044120
6120434200251024
710445534450560
oct1426757176370
9334017183477
10106161831160
114102864a050
12186a9470a74
13a01b28a598
1451d1557da0
152b6518c5aa
hex18b7bcfcf8

106161831160 has 128 divisors (see below), whose sum is σ = 305853719040. Its totient is φ = 32195059200.

The previous prime is 106161831157. The next prime is 106161831161. The reversal of 106161831160 is 61138161601.

It is a super-2 number, since 2×1061618311602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106161831161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351826 + ... + 579745.

It is an arithmetic number, because the mean of its divisors is an integer number (2389482180).

Almost surely, 2106161831160 is an apocalyptic number.

106161831160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106161831160 is an abundant number, since it is smaller than the sum of its proper divisors (199691887880).

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

106161831160 is a wasteful number, since it uses less digits than its factorization.

106161831160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931637 (or 931633 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

Adding to 106161831160 its reverse (61138161601), we get a palindrome (167299992761).

The spelling of 106161831160 in words is "one hundred six billion, one hundred sixty-one million, eight hundred thirty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 37 40 44 55 56 70 74 77 88 110 140 148 154 185 220 259 280 296 308 370 385 407 440 518 616 740 770 814 1036 1295 1480 1540 1628 2035 2072 2590 2849 3080 3256 4070 5180 5698 8140 10360 11396 14245 16280 22792 28490 56980 113960 931571 1863142 3726284 4657855 6520997 7452568 9315710 10247281 13041994 18631420 20494562 26083988 32604985 34468127 37262840 40989124 51236405 52167976 65209970 68936254 71730967 81978248 102472810 130419940 137872508 143461934 172340635 204945620 241276889 260839880 275745016 286923868 344681270 358654835 379149397 409891240 482553778 573847736 689362540 717309670 758298794 965107556 1206384445 1378725080 1434619340 1516597588 1895746985 1930215112 2412768890 2654045779 2869238680 3033195176 3791493970 4825537780 5308091558 7582987940 9651075560 10616183116 13270228895 15165975880 21232366232 26540457790 53080915580 106161831160