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105225153 = 3113188641
BaseRepresentation
bin1100100010110…
…01101111000001
321022222222202220
412101121233001
5203414201103
614235201253
72415253605
oct621315701
9238888686
10105225153
1154440240
122b2a6229
1318a52c07
14dd91505
159387c53
hex6459bc1

105225153 has 8 divisors (see below), whose sum is σ = 153054816. Its totient is φ = 63772800.

The previous prime is 105225149. The next prime is 105225163. The reversal of 105225153 is 351522501.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105225153 - 22 = 105225149 is a prime.

It is a super-2 number, since 2×1052251532 = 22144665647746818, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105225103) 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 7 ways as a sum of consecutive naturals, for example, 1594288 + ... + 1594353.

It is an arithmetic number, because the mean of its divisors is an integer number (19131852).

Almost surely, 2105225153 is an apocalyptic number.

It is an amenable number.

105225153 is a deficient number, since it is larger than the sum of its proper divisors (47829663).

105225153 is a wasteful number, since it uses less digits than its factorization.

105225153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3188655.

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 105225153 is about 10257.9312241797. The cubic root of 105225153 is about 472.1063645788.

Adding to 105225153 its reverse (351522501), we get a palindrome (456747654).

The spelling of 105225153 in words is "one hundred five million, two hundred twenty-five thousand, one hundred fifty-three".

Divisors: 1 3 11 33 3188641 9565923 35075051 105225153