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106005555612 = 223211231785017
BaseRepresentation
bin110001010111001101…
…1000110100110011100
3101010121201011011210100
41202232123012212130
53214044410234422
6120410454541100
710441626232665
oct1425633064634
9333551134710
10106005555612
1140a58410a00
1218665067790
139cc4aa2148
1451b88b836c
152b565bd7ac
hex18ae6c699c

106005555612 has 108 divisors (see below), whose sum is σ = 304034331328. Its totient is φ = 31086633600.

The previous prime is 106005555569. The next prime is 106005555673. The reversal of 106005555612 is 216555500601.

It is a super-2 number, since 2×1060055556122 (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 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 35 ways as a sum of consecutive naturals, for example, 257473 + ... + 527544.

Almost surely, 2106005555612 is an apocalyptic number.

106005555612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106005555612 is an abundant number, since it is smaller than the sum of its proper divisors (198028775716).

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

106005555612 is a wasteful number, since it uses less digits than its factorization.

106005555612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785080 (or 785064 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 106005555612 in words is "one hundred six billion, five million, five hundred fifty-five thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 121 124 132 186 198 242 279 341 363 372 396 484 558 682 726 1023 1089 1116 1364 1452 2046 2178 3069 3751 4092 4356 6138 7502 11253 12276 15004 22506 33759 45012 67518 135036 785017 1570034 2355051 3140068 4710102 7065153 8635187 9420204 14130306 17270374 24335527 25905561 28260612 34540748 48671054 51811122 73006581 77716683 94987057 97342108 103622244 146013162 155433366 189974114 219019743 267690797 284961171 292026324 310866732 379948228 438039486 535381594 569922342 803072391 854883513 876078972 1070763188 1139844684 1606144782 1709767026 2409217173 2944598767 3212289564 3419534052 4818434346 5889197534 8833796301 9636868692 11778395068 17667592602 26501388903 35335185204 53002777806 106005555612