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106050330 = 23354761137
BaseRepresentation
bin1100101001000…
…11001100011010
321101112220201000
412110203030122
5204122102310
614305005430
72425261431
oct624431432
9241486630
10106050330
1154954201
122b623876
1318c81699
1410128118
15949c4c0
hex652331a

106050330 has 128 divisors (see below), whose sum is σ = 295695360. Its totient is φ = 27025920.

The previous prime is 106050319. The next prime is 106050331. The reversal of 106050330 is 33050601.

It is a super-2 number, since 2×1060503302 = 22493344986217800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (106050331) 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, 774022 + ... + 774158.

It is an arithmetic number, because the mean of its divisors is an integer number (2310120).

Almost surely, 2106050330 is an apocalyptic number.

106050330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106050330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147847680).

106050330 is an abundant number, since it is smaller than the sum of its proper divisors (189645030).

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

106050330 is a wasteful number, since it uses less digits than its factorization.

106050330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 106050330 is about 10298.0740917902. The cubic root of 106050330 is about 473.3372407048.

The spelling of 106050330 in words is "one hundred six million, fifty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 61 90 94 122 135 137 141 183 235 270 274 282 305 366 411 423 470 549 610 685 705 822 846 915 1098 1233 1269 1370 1410 1647 1830 2055 2115 2466 2538 2745 2867 3294 3699 4110 4230 5490 5734 6165 6345 6439 7398 8235 8357 8601 12330 12690 12878 14335 16470 16714 17202 18495 19317 25071 25803 28670 32195 36990 38634 41785 43005 50142 51606 57951 64390 75213 77409 83570 86010 96585 115902 125355 129015 150426 154818 173853 193170 225639 250710 258030 289755 347706 376065 387045 392779 451278 579510 752130 774090 785558 869265 1128195 1178337 1738530 1963895 2256390 2356674 3535011 3927790 5891685 7070022 10605033 11783370 17675055 21210066 35350110 53025165 106050330