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105198012 = 22322922167
BaseRepresentation
bin1100100010100…
…11000110111100
321022221121112200
412101103012330
5203412314022
614234431500
72415111513
oct621230674
9238847480
10105198012
1154421907
122b292590
1318a4375a
14dd8567a
15937ebac
hex64531bc

105198012 has 18 divisors (see below), whose sum is σ = 265917288. Its totient is φ = 35065992.

The previous prime is 105198011. The next prime is 105198047. The reversal of 105198012 is 210891501.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1051980122 = 22133243457504288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105198011) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1461048 + ... + 1461119.

Almost surely, 2105198012 is an apocalyptic number.

105198012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105198012 is an abundant number, since it is smaller than the sum of its proper divisors (160719276).

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

105198012 is a wasteful number, since it uses less digits than its factorization.

105198012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922177 (or 2922172 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 105198012 is about 10256.6082112948. The cubic root of 105198012 is about 472.0657705437.

The spelling of 105198012 in words is "one hundred five million, one hundred ninety-eight thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 2922167 5844334 8766501 11688668 17533002 26299503 35066004 52599006 105198012