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106485867000 = 2333533943921
BaseRepresentation
bin110001100101100001…
…1010110000111111000
3101011212011221112011000
41203023003112013320
53221040340221000
6120530253405000
710456550635512
oct1431303260770
9334764845130
10106485867000
114118454aa67
1218779a99760
13a070452776
1452225c6bb2
152b83848000
hex18cb0d61f8

106485867000 has 128 divisors (see below), whose sum is σ = 369151099200. Its totient is φ = 28396224000.

The previous prime is 106485866989. The next prime is 106485867041. The reversal of 106485867000 is 768584601.

It is a happy number.

106485867000 is a `hidden beast` number, since 1 + 0 + 64 + 8 + 586 + 7 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×1064858670002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1944961 + ... + 1998960.

Almost surely, 2106485867000 is an apocalyptic number.

106485867000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106485867000 is an abundant number, since it is smaller than the sum of its proper divisors (262665232200).

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

106485867000 is a wasteful number, since it uses less digits than its factorization.

106485867000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3943951 (or 3943931 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 106485867000 in words is "one hundred six billion, four hundred eighty-five million, eight hundred sixty-seven thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 125 135 150 180 200 216 225 250 270 300 360 375 450 500 540 600 675 750 900 1000 1080 1125 1350 1500 1800 2250 2700 3000 3375 4500 5400 6750 9000 13500 27000 3943921 7887842 11831763 15775684 19719605 23663526 31551368 35495289 39439210 47327052 59158815 70990578 78878420 94654104 98598025 106485867 118317630 141981156 157756840 177476445 197196050 212971734 236635260 283962312 295794075 354952890 394392100 425943468 473270520 492990125 532429335 591588150 709905780 788784200 851886936 887382225 985980250 1064858670 1183176300 1419811560 1478970375 1774764450 1971960500 2129717340 2366352600 2662146675 2957940750 3549528900 3943921000 4259434680 4436911125 5324293350 5915881500 7099057800 8873822250 10648586700 11831763000 13310733375 17747644500 21297173400 26621466750 35495289000 53242933500 106485867000