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105286698 = 23211248341
BaseRepresentation
bin1100100011010…
…00110000101010
321100010010012100
412101220300222
5203423133243
614240354230
72415631206
oct621506052
9240103170
10105286698
1154482500
122b315976
1318a74c2a
14dda9b06
15939b0d3
hex6468c2a

105286698 has 36 divisors (see below), whose sum is σ = 250749954. Its totient is φ = 31904400.

The previous prime is 105286693. The next prime is 105286723. The reversal of 105286698 is 896682501.

It can be written as a sum of positive squares in only one way, i.e., 74183769 + 31102929 = 8613^2 + 5577^2 .

It is a super-3 number, since 3×1052866983 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105286691) 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 17 ways as a sum of consecutive naturals, for example, 21993 + ... + 26348.

Almost surely, 2105286698 is an apocalyptic number.

105286698 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

105286698 is an abundant number, since it is smaller than the sum of its proper divisors (145463256).

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

105286698 is a wasteful number, since it uses less digits than its factorization.

105286698 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48371 (or 48357 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 105286698 is about 10260.9306595455. The cubic root of 105286698 is about 472.1983898612.

The spelling of 105286698 in words is "one hundred five million, two hundred eighty-six thousand, six hundred ninety-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 48341 96682 145023 290046 435069 531751 870138 1063502 1595253 3190506 4785759 5849261 9571518 11698522 17547783 35095566 52643349 105286698