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106055055004990 = 25713179673796643
BaseRepresentation
bin11000000111010011011101…
…111000010101010100111110
3111220111202122010120010000211
4120013103131320111110332
5102400101223040124430
61013321004125343034
731224140062365160
oct3007233570252476
9456452563503024
10106055055004990
1130879772778753
12ba8a21b407a7a
134723c445c2870
141c29140830930
15c3db06cbb72a
hex6074dde1553e

106055055004990 has 128 divisors (see below), whose sum is σ = 236302837263360. Its totient is φ = 33371864967168.

The previous prime is 106055055004867. The next prime is 106055055004991. The reversal of 106055055004990 is 99400550550601.

It is a super-2 number, since 2×1060550550049902 (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 (106055055004991) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1097341609 + ... + 1097438251.

It is an arithmetic number, because the mean of its divisors is an integer number (1846115916120).

Almost surely, 2106055055004990 is an apocalyptic number.

106055055004990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106055055004990 is an abundant number, since it is smaller than the sum of its proper divisors (130247782258370).

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

106055055004990 is a wasteful number, since it uses less digits than its factorization.

106055055004990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103586.

The product of its (nonzero) digits is 1215000, while the sum is 49.

The spelling of 106055055004990 in words is "one hundred six trillion, fifty-five billion, fifty-five million, four thousand, nine hundred ninety".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 179 182 358 455 895 910 1253 1790 2327 2506 4654 6265 6737 11635 12530 13474 16289 23270 32578 33685 47159 67370 81445 87581 94318 96643 162890 175162 193286 235795 437905 471590 483215 613067 676501 875810 966430 1205923 1226134 1256359 1353002 2411846 2512718 3065335 3382505 6029615 6130670 6281795 6765010 8441461 8794513 12059230 12563590 15676999 16882922 17299097 17589026 31353998 34598194 42207305 43972565 78384995 84414610 86495485 87945130 109738993 121093679 156769990 172990970 219477986 224888261 242187358 449776522 548694965 605468395 651083891 1097389930 1124441305 1210936790 1302167782 1574217827 2248882610 3148435654 3255419455 4557587237 6510838910 7871089135 8464090583 9115174474 15742178270 16928181166 22787936185 42320452915 45575872370 59248634081 84640905830 116544016489 118497268162 233088032978 296243170405 582720082445 592486340810 815808115423 1165440164890 1515072214357 1631616230846 3030144428714 4079040577115 7575361071785 8158081154230 10605505500499 15150722143570 21211011000998 53027527502495 106055055004990