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105146032 = 2417936713
BaseRepresentation
bin1100100010001…
…10011010110000
321022211222020111
412101012122300
5203404133112
614233351104
72414504125
oct621063260
9238758214
10105146032
1154396852
122b268494
1318a25bb4
14dd7074c
15936e5a7
hex64466b0

105146032 has 20 divisors (see below), whose sum is σ = 204864120. Its totient is φ = 52277888.

The previous prime is 105146023. The next prime is 105146033. The reversal of 105146032 is 230641501.

It is a super-2 number, since 2×1051460322 = 22111376090690048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105145994 and 105146012.

It is not an unprimeable number, because it can be changed into a prime (105146033) 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 3 ways as a sum of consecutive naturals, for example, 15493 + ... + 21220.

It is an arithmetic number, because the mean of its divisors is an integer number (10243206).

Almost surely, 2105146032 is an apocalyptic number.

It is an amenable number.

105146032 is a deficient number, since it is larger than the sum of its proper divisors (99718088).

105146032 is a wasteful number, since it uses less digits than its factorization.

105146032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36900 (or 36894 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 105146032 is about 10254.0739221053. The cubic root of 105146032 is about 471.9880060152.

Adding to 105146032 its reverse (230641501), we get a palindrome (335787533).

The spelling of 105146032 in words is "one hundred five million, one hundred forty-six thousand, thirty-two".

Divisors: 1 2 4 8 16 179 358 716 1432 2864 36713 73426 146852 293704 587408 6571627 13143254 26286508 52573016 105146032