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106445163326420 = 225193863555713049
BaseRepresentation
bin11000001100111110110010…
…001001011110101111010100
3111221220001120110012010222002
4120030332302021132233110
5102422444143302421140
61014220122152454432
731264260243405152
oct3014766211365724
9457801513163862
10106445163326420
1130a0a15a750586
12bb319519aa418
13475197480ba59
141c3dd8adca3d2
15c48d3a0a2415
hex60cfb225ebd4

106445163326420 has 96 divisors (see below), whose sum is σ = 235421139744000. Its totient is φ = 40316325848064.

The previous prime is 106445163326317. The next prime is 106445163326423. The reversal of 106445163326420 is 24623361544601.

106445163326420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1064451633264202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106445163326423) 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, 8157336056 + ... + 8157349104.

It is an arithmetic number, because the mean of its divisors is an integer number (2452303539000).

Almost surely, 2106445163326420 is an apocalyptic number.

106445163326420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106445163326420 is an abundant number, since it is smaller than the sum of its proper divisors (128975976417580).

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

106445163326420 is a wasteful number, since it uses less digits than its factorization.

106445163326420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22497 (or 22495 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 47.

The spelling of 106445163326420 in words is "one hundred six trillion, four hundred forty-five billion, one hundred sixty-three million, three hundred twenty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 3863 5557 7726 11114 13049 15452 19315 22228 26098 27785 38630 52196 55570 65245 73397 77260 105583 111140 130490 146794 211166 247931 260980 293588 366985 422332 495862 527915 733970 991724 1055830 1239655 1467940 2111660 2479310 4958620 21466691 42933382 50408287 72513293 85866764 100816574 107333455 145026586 201633148 214666910 252041435 290053172 362566465 407867129 429333820 504082870 725132930 815734258 957757453 1008165740 1377752567 1450265860 1631468516 1915514906 2039335645 2755505134 3831029812 4078671290 4788787265 5511010268 6888762835 8157342580 9577574530 13777525670 19155149060 27555051340 280118850859 560237701718 1120475403436 1400594254295 2801188508590 5322258166321 5602377017180 10644516332642 21289032665284 26611290831605 53222581663210 106445163326420