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106583334 = 231121323491
BaseRepresentation
bin1100101101001…
…01010100100110
321102112222211220
412112211110212
5204241131314
614324241210
72432641404
oct626452446
9242488756
10106583334
1155188700
122b840206
131910a180
1410226474
1595553a9
hex65a5526

106583334 has 96 divisors (see below), whose sum is σ = 263837952. Its totient is φ = 28459200.

The previous prime is 106583317. The next prime is 106583341. The reversal of 106583334 is 433385601.

It is a super-2 number, since 2×1065833342 = 22720014173111112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 106583295 and 106583304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216829 + ... + 217319.

It is an arithmetic number, because the mean of its divisors is an integer number (2748312).

Almost surely, 2106583334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106583334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131918976).

106583334 is an abundant number, since it is smaller than the sum of its proper divisors (157254618).

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

106583334 is a wasteful number, since it uses less digits than its factorization.

106583334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 106583334 is about 10323.9204762532. The cubic root of 106583334 is about 474.1289061712.

The spelling of 106583334 in words is "one hundred six million, five hundred eighty-three thousand, three hundred thirty-four".

Divisors: 1 2 3 6 11 13 22 23 26 33 39 46 66 69 78 121 138 143 242 253 286 299 363 429 491 506 598 726 759 858 897 982 1473 1518 1573 1794 2783 2946 3146 3289 4719 5401 5566 6383 6578 8349 9438 9867 10802 11293 12766 16203 16698 19149 19734 22586 32406 33879 36179 38298 59411 67758 70213 72358 108537 118822 124223 140426 146809 178233 210639 217074 248446 293618 356466 372669 421278 440427 745338 772343 880854 1366453 1544686 1614899 2317029 2732906 3229798 4099359 4634058 4844697 8198718 9689394 17763889 35527778 53291667 106583334