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106544304 = 24321771613
BaseRepresentation
bin1100101100110…
…11110010110000
321102111000022100
412112123302300
5204233404204
614323340400
72432416536
oct626336260
9242430270
10106544304
1155161349
122b821700
13190c5489
1410216156
159548a39
hex659bcb0

106544304 has 120 divisors (see below), whose sum is σ = 320684832. Its totient is φ = 32901120.

The previous prime is 106544293. The next prime is 106544309. The reversal of 106544304 is 403445601.

106544304 is a `hidden beast` number, since 1 + 0 + 654 + 4 + 3 + 0 + 4 = 666.

It is a super-2 number, since 2×1065443042 = 22703377429688832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106544309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173502 + ... + 174114.

Almost surely, 2106544304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106544304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160342416).

106544304 is an abundant number, since it is smaller than the sum of its proper divisors (214140528).

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

106544304 is a wasteful number, since it uses less digits than its factorization.

106544304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 106544304 is about 10322.0300328957. The cubic root of 106544304 is about 474.0710249816.

Adding to 106544304 its reverse (403445601), we get a palindrome (509989905).

It can be divided in two parts, 1065 and 44304, that added together give a square (45369 = 2132).

The spelling of 106544304 in words is "one hundred six million, five hundred forty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 71 72 102 136 142 144 153 204 213 272 284 306 408 426 568 612 613 639 816 852 1136 1207 1224 1226 1278 1704 1839 2414 2448 2452 2556 3408 3621 3678 4828 4904 5112 5517 7242 7356 9656 9808 10224 10421 10863 11034 14484 14712 19312 20842 21726 22068 28968 29424 31263 41684 43452 43523 44136 57936 62526 83368 86904 87046 88272 93789 125052 130569 166736 173808 174092 187578 250104 261138 348184 375156 391707 500208 522276 696368 739891 750312 783414 1044552 1479782 1500624 1566828 2089104 2219673 2959564 3133656 4439346 5919128 6267312 6659019 8878692 11838256 13318038 17757384 26636076 35514768 53272152 106544304