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105340225 = 524213609
BaseRepresentation
bin1100100011101…
…01110101000001
321100012211121211
412101311311001
5203431341400
614241450121
72416243234
oct621656501
9240184554
10105340225
1154509741
122b340941
1318a933c3
14ddc141b
1593abdba
hex6475d41

105340225 has 6 divisors (see below), whose sum is σ = 130621910. Its totient is φ = 84272160.

The previous prime is 105340223. The next prime is 105340231. The reversal of 105340225 is 522043501.

It can be written as a sum of positive squares in 3 ways, for example, as 400689 + 104939536 = 633^2 + 10244^2 .

It is not a de Polignac number, because 105340225 - 21 = 105340223 is a prime.

It is a super-3 number, since 3×1053402253 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105340196 and 105340205.

It is not an unprimeable number, because it can be changed into a prime (105340223) 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 5 ways as a sum of consecutive naturals, for example, 2106780 + ... + 2106829.

Almost surely, 2105340225 is an apocalyptic number.

It is an amenable number.

105340225 is a deficient number, since it is larger than the sum of its proper divisors (25281685).

105340225 is an equidigital number, since it uses as much as digits as its factorization.

105340225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4213619 (or 4213614 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 105340225 is about 10263.5386197939. The cubic root of 105340225 is about 472.2783970594.

Adding to 105340225 its reverse (522043501), we get a palindrome (627383726).

The spelling of 105340225 in words is "one hundred five million, three hundred forty thousand, two hundred twenty-five".

Divisors: 1 5 25 4213609 21068045 105340225