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106184055384 = 23341159325121
BaseRepresentation
bin110001011100100010…
…0000001101001011000
3101011002011000220110000
41202321010001221120
53214431104233014
6120440312453000
710446224402331
oct1427104015130
9334064026400
10106184055384
114103a149480
12186b49aa160
13a022a6c204
1451d44a1288
152b670cc509
hex18b9101a58

106184055384 has 160 divisors (see below), whose sum is σ = 325011353040. Its totient is φ = 32121446400.

The previous prime is 106184055347. The next prime is 106184055421. The reversal of 106184055384 is 483550481601.

106184055384 is a `hidden beast` number, since 1 + 0 + 6 + 18 + 4 + 0 + 553 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (106184055347) and next prime (106184055421).

It is a super-2 number, since 2×1061840553842 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4214344 + ... + 4239464.

Almost surely, 2106184055384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106184055384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162505676520).

106184055384 is an abundant number, since it is smaller than the sum of its proper divisors (218827297656).

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

106184055384 is a wasteful number, since it uses less digits than its factorization.

106184055384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25743 (or 25730 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 106184055384 in words is "one hundred six billion, one hundred eighty-four million, fifty-five thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 593 594 648 792 891 1186 1188 1779 1782 2372 2376 3558 3564 4744 5337 6523 7116 7128 10674 13046 14232 16011 19569 21348 25121 26092 32022 39138 42696 48033 50242 52184 58707 64044 75363 78276 96066 100484 117414 128088 150726 156552 176121 192132 200968 226089 234828 276331 301452 352242 384264 452178 469656 528363 552662 602904 678267 704484 828993 904356 1056726 1105324 1356534 1408968 1657986 1808712 2034801 2113452 2210648 2486979 2713068 3315972 4069602 4226904 4973958 5426136 6631944 7460937 8139204 9947916 14896753 14921874 16278408 19895832 22382811 29793506 29843748 44690259 44765622 59587012 59687496 89380518 89531244 119174024 134070777 163864283 178761036 179062488 268141554 327728566 357522072 402212331 491592849 536283108 655457132 804424662 983185698 1072566216 1206636993 1310914264 1474778547 1608849324 1966371396 2413273986 2949557094 3217698648 3932742792 4424335641 4826547972 5899114188 8848671282 9653095944 11798228376 13273006923 17697342564 26546013846 35394685128 53092027692 106184055384