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106655562 = 2331332931
BaseRepresentation
bin1100101101101…
…10111101001010
321102200122221000
412112312331022
5204300434222
614325555430
72433362106
oct626667512
9242618830
10106655562
11552279a2
122b875b76
1319134000
1410244906
15956b9ac
hex65b6f4a

106655562 has 128 divisors (see below), whose sum is σ = 274176000. Its totient is φ = 30663360.

The previous prime is 106655551. The next prime is 106655587. The reversal of 106655562 is 265556601.

It is a happy number.

It is a super-2 number, since 2×1066555622 = 22750817811071688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3440487 + ... + 3440517.

It is an arithmetic number, because the mean of its divisors is an integer number (2142000).

Almost surely, 2106655562 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106655562, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137088000).

106655562 is an abundant number, since it is smaller than the sum of its proper divisors (167520438).

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

106655562 is a wasteful number, since it uses less digits than its factorization.

106655562 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 106655562 is about 10327.4179735305. The cubic root of 106655562 is about 474.2359824798.

The spelling of 106655562 in words is "one hundred six million, six hundred fifty-five thousand, five hundred sixty-two".

Divisors: 1 2 3 6 9 13 18 26 27 29 31 39 54 58 62 78 87 93 117 169 174 186 234 261 279 338 351 377 403 507 522 558 702 754 783 806 837 899 1014 1131 1209 1521 1566 1674 1798 2197 2262 2418 2697 3042 3393 3627 4394 4563 4901 5239 5394 6591 6786 7254 8091 9126 9802 10179 10478 10881 11687 13182 14703 15717 16182 19773 20358 21762 23374 24273 29406 31434 35061 39546 44109 47151 48546 59319 63713 68107 70122 88218 94302 105183 118638 127426 132327 136214 141453 151931 191139 204321 210366 264654 282906 303862 315549 382278 408642 455793 573417 612963 631098 911586 1146834 1225926 1367379 1720251 1838889 1975103 2734758 3440502 3677778 3950206 4102137 5925309 8204274 11850618 17775927 35551854 53327781 106655562