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105214025 = 527285889
BaseRepresentation
bin1100100010101…
…11000001001001
321022222102111202
412101113001021
5203413322100
614235033545
72415206300
oct621270111
9238872452
10105214025
1154432944
122b29b8b5
1318a4ab27
14dd8b437
1593847d5
hex6457049

105214025 has 18 divisors (see below), whose sum is σ = 151767630. Its totient is φ = 72145920.

The previous prime is 105214013. The next prime is 105214049. The reversal of 105214025 is 520412501.

It can be written as a sum of positive squares in 3 ways, for example, as 29506624 + 75707401 = 5432^2 + 8701^2 .

It is not a de Polignac number, because 105214025 - 210 = 105213001 is a prime.

It is a super-2 number, since 2×1052140252 = 22139982113401250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105213988 and 105214006.

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 17 ways as a sum of consecutive naturals, for example, 41720 + ... + 44169.

It is an arithmetic number, because the mean of its divisors is an integer number (8431535).

Almost surely, 2105214025 is an apocalyptic number.

It is an amenable number.

105214025 is a deficient number, since it is larger than the sum of its proper divisors (46553605).

105214025 is an equidigital number, since it uses as much as digits as its factorization.

105214025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85913 (or 85901 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 105214025 is about 10257.3888002747. The cubic root of 105214025 is about 472.0897215846.

Adding to 105214025 its reverse (520412501), we get a palindrome (625626526).

The spelling of 105214025 in words is "one hundred five million, two hundred fourteen thousand, twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 85889 429445 601223 2147225 3006115 4208561 15030575 21042805 105214025