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106704852 = 223173147359
BaseRepresentation
bin1100101110000…
…10111111010100
321102210011112120
412113002333110
5204304023402
614331015540
72433655602
oct627027724
9242704476
10106704852
1155260a31
122b89a5b0
1319150587
1410258872
15957b3bc
hex65c2fd4

106704852 has 96 divisors (see below), whose sum is σ = 278691840. Its totient is φ = 31618560.

The previous prime is 106704841. The next prime is 106704881. The reversal of 106704852 is 258407601.

It is a super-2 number, since 2×1067048522 = 22771850880683808, 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 31 ways as a sum of consecutive naturals, for example, 297049 + ... + 297407.

It is an arithmetic number, because the mean of its divisors is an integer number (2903040).

Almost surely, 2106704852 is an apocalyptic number.

106704852 is a gapful number since it is divisible by the number (12) 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 106704852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139345920).

106704852 is an abundant number, since it is smaller than the sum of its proper divisors (171986988).

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

106704852 is a wasteful number, since it uses less digits than its factorization.

106704852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 106704852 is about 10329.8040639695. The cubic root of 106704852 is about 474.3090259955.

The spelling of 106704852 in words is "one hundred six million, seven hundred four thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 31 34 47 51 62 68 93 94 102 124 141 186 188 204 282 359 372 527 564 718 799 1054 1077 1436 1457 1581 1598 2108 2154 2397 2914 3162 3196 4308 4371 4794 5828 6103 6324 8742 9588 11129 12206 16873 17484 18309 22258 24412 24769 33387 33746 36618 44516 49538 50619 66774 67492 73236 74307 99076 101238 133548 148614 189193 202476 286841 297228 378386 523063 567579 573682 756772 860523 1046126 1135158 1147364 1569189 1721046 2092252 2270316 3138378 3442092 6276756 8892071 17784142 26676213 35568284 53352426 106704852