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106141022055 = 3356112889013
BaseRepresentation
bin110001011011001111…
…1110111011101100111
3101010222011001120211000
41202312133313131213
53214334100201210
6120432134244343
710445162541615
oct1426637673547
9333864046730
10106141022055
1141017926942
12186a24b66b3
13a016b82ac3
1451cc89c6b5
152b6342bac0
hex18b67f7767

106141022055 has 32 divisors (see below), whose sum is σ = 191788528320. Its totient is φ = 55680531840.

The previous prime is 106141021991. The next prime is 106141022059. The reversal of 106141022055 is 550220141601.

106141022055 is a `hidden beast` number, since 10 + 614 + 10 + 2 + 20 + 5 + 5 = 666.

It is not a de Polignac number, because 106141022055 - 26 = 106141021991 is a prime.

It is a super-2 number, since 2×1061410220552 (a number of 23 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 not an unprimeable number, because it can be changed into a prime (106141022059) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6436272 + ... + 6452741.

It is an arithmetic number, because the mean of its divisors is an integer number (5993391510).

Almost surely, 2106141022055 is an apocalyptic number.

106141022055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106141022055 is a deficient number, since it is larger than the sum of its proper divisors (85647506265).

106141022055 is a wasteful number, since it uses less digits than its factorization.

106141022055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12889088 (or 12889082 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 106141022055 its reverse (550220141601), we get a palindrome (656361163656).

The spelling of 106141022055 in words is "one hundred six billion, one hundred forty-one million, twenty-two thousand, fifty-five".

Divisors: 1 3 5 9 15 27 45 61 135 183 305 549 915 1647 2745 8235 12889013 38667039 64445065 116001117 193335195 348003351 580005585 786229793 1740016755 2358689379 3931148965 7076068137 11793446895 21228204411 35380340685 106141022055