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106607111206156 = 221122377312388921
BaseRepresentation
bin11000001111010101100110…
…111111100111010100001100
3111222110112120212200211121221
4120033111212333213110030
5102433122330432044111
61014422344125533124
731312052411565061
oct3017254677472414
9458415525624557
10106607111206156
1130a71905041600
12bb59209a141a4
1347640134a4522
141c47b514acc68
15c4d167a59371
hex60f566fe750c

106607111206156 has 72 divisors (see below), whose sum is σ = 214257188632032. Its totient is φ = 46290951801600.

The previous prime is 106607111206139. The next prime is 106607111206157. The reversal of 106607111206156 is 651602111706601.

It is a super-3 number, since 3×1066071112061563 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (106607111206157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2410576 + ... + 14799496.

It is an arithmetic number, because the mean of its divisors is an integer number (2975794286556).

Almost surely, 2106607111206156 is an apocalyptic number.

It is an amenable number.

106607111206156 is an abundant number, since it is smaller than the sum of its proper divisors (107650077425876).

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

106607111206156 is a wasteful number, since it uses less digits than its factorization.

106607111206156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12389743 (or 12389730 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 43.

The spelling of 106607111206156 in words is "one hundred six trillion, six hundred seven billion, one hundred eleven million, two hundred six thousand, one hundred fifty-six".

Divisors: 1 2 4 11 22 23 44 46 92 121 242 253 484 506 773 1012 1546 2783 3092 5566 8503 11132 17006 17779 34012 35558 71116 93533 187066 195569 374132 391138 782276 2151259 4302518 8605036 12388921 24777842 49555684 136278131 272556262 284945183 545112524 569890366 1139780732 1499059441 2998118882 3134397013 5996237764 6268794026 9576635933 12537588052 19153271866 34478367143 38306543732 68956734286 105342995263 137913468572 210685990526 220262626459 421371981052 440525252918 881050505836 1158772947893 2317545895786 2422888891049 4635091791572 4845777782098 9691555564196 26651777801539 53303555603078 106607111206156