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107043090 = 235711149311
BaseRepresentation
bin1100110000101…
…01100100010010
321110102100111220
412120111210102
5204400334330
614342145510
72436564660
oct630254422
9243370456
10107043090
1155472070
122ba22296
131923b50b
1410305c30
1595e6710
hex6615912

107043090 has 128 divisors (see below), whose sum is σ = 323481600. Its totient is φ = 22022400.

The previous prime is 107043077. The next prime is 107043091. The reversal of 107043090 is 90340701.

It is a super-2 number, since 2×1070430902 = 22916446233496200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107043090.

It is not an unprimeable number, because it can be changed into a prime (107043091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 344035 + ... + 344345.

It is an arithmetic number, because the mean of its divisors is an integer number (2527200).

Almost surely, 2107043090 is an apocalyptic number.

107043090 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 107043090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161740800).

107043090 is an abundant number, since it is smaller than the sum of its proper divisors (216438510).

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

107043090 is a wasteful number, since it uses less digits than its factorization.

107043090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488.

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 107043090 is about 10346.1630569018. The cubic root of 107043090 is about 474.8096596564.

Adding to 107043090 its reverse (90340701), we get a palindrome (197383791).

The spelling of 107043090 in words is "one hundred seven million, forty-three thousand, ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 149 154 165 210 231 298 311 330 385 447 462 622 745 770 894 933 1043 1155 1490 1555 1639 1866 2086 2177 2235 2310 3110 3129 3278 3421 4354 4470 4665 4917 5215 6258 6531 6842 8195 9330 9834 10263 10430 10885 11473 13062 15645 16390 17105 20526 21770 22946 23947 24585 31290 32655 34210 34419 46339 47894 49170 51315 57365 65310 68838 71841 92678 102630 114730 119735 139017 143682 172095 231695 239470 278034 324373 344190 359205 463390 509729 648746 695085 718410 973119 1019458 1390170 1529187 1621865 1946238 2548645 3058374 3243730 3568103 4865595 5097290 7136206 7645935 9731190 10704309 15291870 17840515 21408618 35681030 53521545 107043090