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106487346924 = 22347411145173
BaseRepresentation
bin110001100101100100…
…0111111011011101100
3101011212021201201020000
41203023020333123230
53221041230100144
6120530345224300
710456566341250
oct1431310773354
9334767651200
10106487346924
1141185370942
121877a492090
13a07085026a
145222890260
152b83a3b769
hex18cb23f6ec

106487346924 has 120 divisors (see below), whose sum is σ = 325907359008. Its totient is φ = 29682858240.

The previous prime is 106487346923. The next prime is 106487346961. The reversal of 106487346924 is 429643784601.

106487346924 is a `hidden beast` number, since 106 + 4 + 8 + 73 + 469 + 2 + 4 = 666.

It is a super-2 number, since 2×1064873469242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (106487346923) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 479599 + ... + 665574.

Almost surely, 2106487346924 is an apocalyptic number.

106487346924 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106487346924 is an abundant number, since it is smaller than the sum of its proper divisors (219420012084).

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

106487346924 is a wasteful number, since it uses less digits than its factorization.

106487346924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145237 (or 1145226 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 106487346924 in words is "one hundred six billion, four hundred eighty-seven million, three hundred forty-six thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 41 42 54 63 81 82 84 108 123 126 162 164 189 246 252 287 324 369 378 492 567 574 738 756 861 1107 1134 1148 1476 1722 2214 2268 2583 3321 3444 4428 5166 6642 7749 10332 13284 15498 23247 30996 46494 92988 1145173 2290346 3435519 4580692 6871038 8016211 10306557 13742076 16032422 20613114 24048633 30919671 32064844 41226228 46952093 48097266 61839342 72145899 92759013 93904186 96194532 123678684 140856279 144291798 185518026 187808372 216437697 281712558 288583596 328664651 371036052 422568837 432875394 563425116 649313091 657329302 845137674 865750788 985993953 1267706511 1298626182 1314658604 1690275348 1971987906 2535413022 2597252364 2957981859 3803119533 3943975812 5070826044 5915963718 7606239066 8873945577 11831927436 15212478132 17747891154 26621836731 35495782308 53243673462 106487346924