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105018914 = 27111352457
BaseRepresentation
bin1100100001001…
…11011000100010
321022121111212102
412100213120202
5203341101124
614230530402
72413434410
oct620473042
9238544772
10105018914
115430a2a0
122b206a02
13189b0090
14dd3a2b0
159346aae
hex6427622

105018914 has 32 divisors (see below), whose sum is σ = 211510656. Its totient is φ = 37768320.

The previous prime is 105018863. The next prime is 105018929. The reversal of 105018914 is 419810501.

It is a super-2 number, since 2×1050189142 = 22057944595478792, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 24227 + ... + 28230.

It is an arithmetic number, because the mean of its divisors is an integer number (6609708).

Almost surely, 2105018914 is an apocalyptic number.

105018914 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105018914 is an abundant number, since it is smaller than the sum of its proper divisors (106491742).

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

105018914 is a wasteful number, since it uses less digits than its factorization.

105018914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52490.

The product of its (nonzero) digits is 1440, while the sum is 29.

The square root of 105018914 is about 10247.8736331007. The cubic root of 105018914 is about 471.7977234623.

The spelling of 105018914 in words is "one hundred five million, eighteen thousand, nine hundred fourteen".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 2002 52457 104914 367199 577027 681941 734398 1154054 1363882 4039189 4773587 7501351 8078378 9547174 15002702 52509457 105018914