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105535052 = 2273769109
BaseRepresentation
bin1100100101001…
…01011001001100
321100120201212122
412102211121030
5204004110202
614245552112
72421014240
oct622453114
9240521778
10105535052
1154632057
122b415638
1318b30c9c
1410032420
1593e99a2
hex64a564c

105535052 has 12 divisors (see below), whose sum is σ = 211070160. Its totient is φ = 45229296.

The previous prime is 105535033. The next prime is 105535057. The reversal of 105535052 is 250535501.

105535052 is an admirable number.

It is a super-2 number, since 2×1055350522 = 22275294401285408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105535057) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1884527 + ... + 1884582.

It is an arithmetic number, because the mean of its divisors is an integer number (17589180).

Almost surely, 2105535052 is an apocalyptic number.

It is an amenable number.

105535052 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

105535052 is a wasteful number, since it uses less digits than its factorization.

105535052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3769120 (or 3769118 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 26.

The square root of 105535052 is about 10273.0254550449. The cubic root of 105535052 is about 472.5693777544.

The spelling of 105535052 in words is "one hundred five million, five hundred thirty-five thousand, fifty-two".

Divisors: 1 2 4 7 14 28 3769109 7538218 15076436 26383763 52767526 105535052