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106143660 = 223257611381
BaseRepresentation
bin1100101001110…
…01111110101100
321101201122201200
412110321332230
5204133044120
614311005500
72426130510
oct624717654
9241648650
10106143660
1154a08337
122b669890
1318cb4ccc
1410150140
1594b9e90
hex6539fac

106143660 has 144 divisors (see below), whose sum is σ = 374267712. Its totient is φ = 23846400.

The previous prime is 106143647. The next prime is 106143673. The reversal of 106143660 is 66341601.

106143660 is a `hidden beast` number, since 10 + 614 + 36 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (106143647) and next prime (106143673).

It is a super-2 number, since 2×1061436602 = 22532953116391200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76170 + ... + 77550.

Almost surely, 2106143660 is an apocalyptic number.

106143660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106143660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187133856).

106143660 is an abundant number, since it is smaller than the sum of its proper divisors (268124052).

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

106143660 is a wasteful number, since it uses less digits than its factorization.

106143660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 106143660 is about 10302.6045250703. The cubic root of 106143660 is about 473.4760540769.

The spelling of 106143660 in words is "one hundred six million, one hundred forty-three thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 61 63 70 84 90 105 122 126 140 180 183 210 244 252 305 315 366 420 427 549 610 630 732 854 915 1098 1220 1260 1281 1381 1708 1830 2135 2196 2562 2745 2762 3660 3843 4143 4270 5124 5490 5524 6405 6905 7686 8286 8540 9667 10980 12429 12810 13810 15372 16572 19215 19334 20715 24858 25620 27620 29001 38430 38668 41430 48335 49716 58002 62145 76860 82860 84241 87003 96670 116004 124290 145005 168482 174006 193340 248580 252723 290010 336964 348012 421205 435015 505446 580020 589687 758169 842410 870030 1010892 1179374 1263615 1516338 1684820 1740060 1769061 2358748 2527230 2948435 3032676 3538122 3790845 5054460 5307183 5896870 7076244 7581690 8845305 10614366 11793740 15163380 17690610 21228732 26535915 35381220 53071830 106143660