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106110106001055 = 3551311359450933
BaseRepresentation
bin11000001000000110101111…
…001011001101111010011111
3111220201000201201201110200000
4120020012233023031322133
5102402001444114013210
61013402150523305343
731231126226212032
oct3010065713157237
9456630651643600
10106110106001055
11308a0052609912
12ba98a2397b253
1347291a8937a50
141c2ba83cd9019
15c40279cdcac0
hex6081af2cde9f

106110106001055 has 96 divisors (see below), whose sum is σ = 207225980410176. Its totient is φ = 51776530089984.

The previous prime is 106110106000993. The next prime is 106110106001077. The reversal of 106110106001055 is 550100601011601.

106110106001055 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 1 + 0 + 1 + 0 + 600 + 1 + 0 + 55 = 666.

It is not a de Polignac number, because 106110106001055 - 28 = 106110106000799 is a prime.

It is a super-2 number, since 2×1061101060010552 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27940632 + ... + 31510301.

It is an arithmetic number, because the mean of its divisors is an integer number (2158603962606).

Almost surely, 2106110106001055 is an apocalyptic number.

106110106001055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106110106001055 is a deficient number, since it is larger than the sum of its proper divisors (101115874409121).

106110106001055 is a wasteful number, since it uses less digits than its factorization.

106110106001055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59451079 (or 59451067 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

Adding to 106110106001055 its reverse (550100601011601), we get a palindrome (656210707012656).

The spelling of 106110106001055 in words is "one hundred six trillion, one hundred ten billion, one hundred six million, one thousand, fifty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 113 117 135 195 243 339 351 405 565 585 1017 1053 1215 1469 1695 1755 3051 3159 4407 5085 5265 7345 9153 13221 15255 15795 22035 27459 39663 45765 66105 118989 137295 198315 356967 594945 1784835 59450933 178352799 297254665 535058397 772862129 891763995 1605175191 2318586387 2675291985 3864310645 4815525573 6717955429 6955759161 8025875955 11592931935 14446576719 20153866287 20867277483 24077627865 33589777145 34778795805 60461598861 62601832449 72232883595 87333420577 100769331435 104336387415 181384796583 187805497347 262000261731 302307994305 313009162245 436667102885 544154389749 786000785193 906923982915 939027486735 1310001308655 1632463169247 2358002355579 2720771948745 3930003925965 7074007066737 8162315846235 11790011777895 21222021200211 35370035333685 106110106001055