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106554690 = 23451111959
BaseRepresentation
bin1100101100111…
…10010101000010
321102111112120000
412112132111002
5204234222230
614323500430
72432462034
oct626362502
9242445500
10106554690
1155169130
122b827716
13190ca118
1410219c54
15954bb60
hex659e542

106554690 has 80 divisors (see below), whose sum is σ = 312586560. Its totient is φ = 25829280.

The previous prime is 106554689. The next prime is 106554733. The reversal of 106554690 is 96455601.

106554690 is a `hidden beast` number, since 10 + 6 + 554 + 6 + 90 = 666.

It is a super-2 number, since 2×1065546902 = 22707803921992200, which contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 2931 + ... + 14889.

It is an arithmetic number, because the mean of its divisors is an integer number (3907332).

Almost surely, 2106554690 is an apocalyptic number.

106554690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106554690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156293280).

106554690 is an abundant number, since it is smaller than the sum of its proper divisors (206031870).

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

106554690 is a wasteful number, since it uses less digits than its factorization.

106554690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11989 (or 11980 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 106554690 is about 10322.5331193462. The cubic root of 106554690 is about 474.0864287198.

It can be divided in two parts, 1065 and 54690, that added together give a palindrome (55755).

The spelling of 106554690 in words is "one hundred six million, five hundred fifty-four thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 270 297 330 405 495 594 810 891 990 1485 1782 2970 4455 8910 11959 23918 35877 59795 71754 107631 119590 131549 179385 215262 263098 322893 358770 394647 538155 645786 657745 789294 968679 1076310 1183941 1315490 1614465 1937358 1973235 2367882 3228930 3551823 3946470 4843395 5919705 7103646 9686790 10655469 11839410 17759115 21310938 35518230 53277345 106554690