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106207888080 = 2435729031283
BaseRepresentation
bin110001011101001111…
…0111100001011010000
3101011010210212201202110
41202322132330023100
53220003204404310
6120442523345320
710446634103400
oct1427236741320
9334123781673
10106207888080
1141051647318
1218700982240
13a027994cb8
1451d7706800
152b69238d20
hex18ba7bc2d0

106207888080 has 120 divisors (see below), whose sum is σ = 382998691872. Its totient is φ = 24276086016.

The previous prime is 106207888067. The next prime is 106207888139. The reversal of 106207888080 is 80888702601.

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

It is a super-2 number, since 2×1062078880802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4503882 + ... + 4527401.

Almost surely, 2106207888080 is an apocalyptic number.

106207888080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106207888080 is an abundant number, since it is smaller than the sum of its proper divisors (276790803792).

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

106207888080 is a wasteful number, since it uses less digits than its factorization.

106207888080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9031313 (or 9031300 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 48.

The spelling of 106207888080 in words is "one hundred six billion, two hundred seven million, eight hundred eighty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3920 5880 11760 9031283 18062566 27093849 36125132 45156415 54187698 63218981 72250264 90312830 108375396 126437962 135469245 144500528 180625660 189656943 216750792 252875924 270938490 316094905 361251320 379313886 433501584 442532867 505751848 541876980 632189810 722502640 758627772 885065734 948284715 1011503696 1083753960 1264379620 1327598601 1517255544 1770131468 1896569430 2167507920 2212664335 2528759240 2655197202 3034511088 3540262936 3793138860 4425328670 5057518480 5310394404 6637993005 7080525872 7586277720 8850657340 10620788808 13275986010 15172555440 17701314680 21241577616 26551972020 35402629360 53103944040 106207888080