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106656550 = 252711132131
BaseRepresentation
bin1100101101101…
…11001100100110
321102200201021121
412112313030212
5204301002200
614330004154
72433365020
oct626671446
9242621247
10106656550
1155228710
122b87665a
13191345b0
1410245010
15956be1a
hex65b7326

106656550 has 96 divisors (see below), whose sum is σ = 266482944. Its totient is φ = 30672000.

The previous prime is 106656547. The next prime is 106656569. The reversal of 106656550 is 55656601.

It is a super-2 number, since 2×1066565502 = 22751239315805000, 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 47 ways as a sum of consecutive naturals, for example, 48985 + ... + 51115.

It is an arithmetic number, because the mean of its divisors is an integer number (2775864).

Almost surely, 2106656550 is an apocalyptic number.

106656550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106656550 is an abundant number, since it is smaller than the sum of its proper divisors (159826394).

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

106656550 is a wasteful number, since it uses less digits than its factorization.

106656550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

The square root of 106656550 is about 10327.4658072540. The cubic root of 106656550 is about 474.2374468313.

It can be divided in two parts, 106 and 656550, that added together give a palindrome (656656).

The spelling of 106656550 in words is "one hundred six million, six hundred fifty-six thousand, five hundred fifty".

Divisors: 1 2 5 7 10 11 13 14 22 25 26 35 50 55 65 70 77 91 110 130 143 154 175 182 275 286 325 350 385 455 550 650 715 770 910 1001 1430 1925 2002 2131 2275 3575 3850 4262 4550 5005 7150 10010 10655 14917 21310 23441 25025 27703 29834 46882 50050 53275 55406 74585 106550 117205 138515 149170 164087 193921 234410 277030 304733 328174 372925 387842 586025 609466 692575 745850 820435 969605 1172050 1385150 1523665 1640870 1939210 2133131 3047330 4102175 4266262 4848025 7618325 8204350 9696050 10665655 15236650 21331310 53328275 106656550