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106045060541360 = 2453173495818493
BaseRepresentation
bin11000000111001010001010…
…001010011110101110110000
3111220110210211121012202101012
4120013022022022132232300
5102344420240444310420
61013312232301330052
731223334313012223
oct3007121212365660
9456423747182335
10106045060541360
11308755040a5256
12ba882b0266928
134723010ac3365
141c2887330d5ba
15c3d71e653dc5
hex60728a29ebb0

106045060541360 has 80 divisors (see below), whose sum is σ = 254542820716800. Its totient is φ = 41044108047360.

The previous prime is 106045060541317. The next prime is 106045060541363. The reversal of 106045060541360 is 63145060540601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1060450605413602 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106045060541363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15316274 + ... + 21134766.

It is an arithmetic number, because the mean of its divisors is an integer number (3181785258960).

Almost surely, 2106045060541360 is an apocalyptic number.

106045060541360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106045060541360 is an abundant number, since it is smaller than the sum of its proper divisors (148497760175440).

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

106045060541360 is a wasteful number, since it uses less digits than its factorization.

106045060541360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5825886 (or 5825880 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 41.

The spelling of 106045060541360 in words is "one hundred six trillion, forty-five billion, sixty million, five hundred forty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 7349 14698 29396 36745 58792 73490 117584 146980 227819 293960 455638 587920 911276 1139095 1822552 2278190 3645104 4556380 5818493 9112760 11636986 18225520 23273972 29092465 46547944 58184930 93095888 116369860 180373283 232739720 360746566 465479440 721493132 901866415 1442986264 1803732830 2885972528 3607465660 7214931320 14429862640 42760105057 85520210114 171040420228 213800525285 342080840456 427601050570 684161680912 855202101140 1325563256767 1710404202280 2651126513534 3420808404560 5302253027068 6627816283835 10604506054136 13255632567670 21209012108272 26511265135340 53022530270680 106045060541360