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106922522160 = 24325473159649
BaseRepresentation
bin110001110010100010…
…1000011011000110000
3101012222121120220102100
41203211011003120300
53222434131202120
6121041452420400
710503432304566
oct1434505033060
9335877526370
10106922522160
1141388a814a3
1218880177700
13a10ca592bc
1452645ada36
152babd4c490
hex18e5143630

106922522160 has 120 divisors (see below), whose sum is σ = 366721617600. Its totient is φ = 27906011136.

The previous prime is 106922522143. The next prime is 106922522177. The reversal of 106922522160 is 61225229601.

106922522160 is a `hidden beast` number, since 10 + 69 + 2 + 2 + 522 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (106922522143) and next prime (106922522177).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1069225221602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1545985 + ... + 1613664.

It is an arithmetic number, because the mean of its divisors is an integer number (3056013480).

Almost surely, 2106922522160 is an apocalyptic number.

106922522160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106922522160 is an abundant number, since it is smaller than the sum of its proper divisors (259799095440).

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

106922522160 is a wasteful number, since it uses less digits than its factorization.

106922522160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3159715 (or 3159706 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 106922522160 in words is "one hundred six billion, nine hundred twenty-two million, five hundred twenty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 47 48 60 72 80 90 94 120 141 144 180 188 235 240 282 360 376 423 470 564 705 720 752 846 940 1128 1410 1692 1880 2115 2256 2820 3384 3760 4230 5640 6768 8460 11280 16920 33840 3159649 6319298 9478947 12638596 15798245 18957894 25277192 28436841 31596490 37915788 47394735 50554384 56873682 63192980 75831576 94789470 113747364 126385960 142184205 148503503 151663152 189578940 227494728 252771920 284368410 297007006 379157880 445510509 454989456 568736820 594014012 742517515 758315760 891021018 1137473640 1188028024 1336531527 1485035030 1782042036 2227552545 2274947280 2376056048 2673063054 2970070060 3564084072 4455105090 5346126108 5940140120 6682657635 7128168144 8910210180 10692252216 11880280240 13365315270 17820420360 21384504432 26730630540 35640840720 53461261080 106922522160