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106141000 = 2353759257
BaseRepresentation
bin1100101001110…
…01010101001000
321101201112002011
412110321111020
5204133003000
614310545304
72426116660
oct624712510
9241645064
10106141000
1154a06339
122b668234
1318cb3a34
141014d1a0
1594b92ba
hex6539548

106141000 has 128 divisors (see below), whose sum is σ = 289785600. Its totient is φ = 35635200.

The previous prime is 106140977. The next prime is 106141019. The reversal of 106141000 is 141601.

It is a super-2 number, since 2×1061410002 = 22531823762000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412872 + ... + 413128.

It is an arithmetic number, because the mean of its divisors is an integer number (2263950).

Almost surely, 2106141000 is an apocalyptic number.

106141000 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 106141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144892800).

106141000 is an abundant number, since it is smaller than the sum of its proper divisors (183644600).

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

106141000 is a wasteful number, since it uses less digits than its factorization.

106141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 106141000 is about 10302.4754306914. The cubic root of 106141000 is about 473.4720988813.

Adding to 106141000 its reverse (141601), we get a palindrome (106282601).

The spelling of 106141000 in words is "one hundred six million, one hundred forty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 59 70 100 118 125 140 175 200 236 250 257 280 295 350 413 472 500 514 590 700 826 875 1000 1028 1180 1285 1400 1475 1652 1750 1799 2056 2065 2360 2570 2950 3304 3500 3598 4130 5140 5900 6425 7000 7196 7375 8260 8995 10280 10325 11800 12850 14392 14750 15163 16520 17990 20650 25700 29500 30326 32125 35980 41300 44975 51400 51625 59000 60652 64250 71960 75815 82600 89950 103250 106141 121304 128500 151630 179900 206500 212282 224875 257000 303260 359800 379075 413000 424564 449750 530705 606520 758150 849128 899500 1061410 1516300 1799000 1895375 2122820 2653525 3032600 3790750 4245640 5307050 7581500 10614100 13267625 15163000 21228200 26535250 53070500 106141000