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105243225 = 3521519293
BaseRepresentation
bin1100100010111…
…10001001011001
321100000220120020
412101132021121
5203420240400
614235421053
72415360363
oct621361131
9240026506
10105243225
115445287a
122b2b4789
1318a5b1c9
14dd97d33
15938d2a0
hex645e259

105243225 has 24 divisors (see below), whose sum is σ = 175173312. Its totient is φ = 55752000.

The previous prime is 105243221. The next prime is 105243227. The reversal of 105243225 is 522342501.

It is not a de Polignac number, because 105243225 - 22 = 105243221 is a prime.

It is a super-2 number, since 2×1052432252 = 22152272816801250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105243195 and 105243204.

It is not an unprimeable number, because it can be changed into a prime (105243221) 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 23 ways as a sum of consecutive naturals, for example, 6679 + ... + 15971.

It is an arithmetic number, because the mean of its divisors is an integer number (7298888).

Almost surely, 2105243225 is an apocalyptic number.

105243225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105243225 is a deficient number, since it is larger than the sum of its proper divisors (69930087).

105243225 is a wasteful number, since it uses less digits than its factorization.

105243225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9457 (or 9452 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 105243225 is about 10258.8120657316. The cubic root of 105243225 is about 472.1333904929.

Adding to 105243225 its reverse (522342501), we get a palindrome (627585726).

The spelling of 105243225 in words is "one hundred five million, two hundred forty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 75 151 453 755 2265 3775 9293 11325 27879 46465 139395 232325 696975 1403243 4209729 7016215 21048645 35081075 105243225