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105323325 = 3522361057
BaseRepresentation
bin1100100011100…
…01101100111101
321100011222102220
412101301230331
5203430321300
614241235553
72416143042
oct621615475
9240158386
10105323325
11544a7a78
122b332bb9
1318a887c3
14ddb91c9
1593a6da0
hex6471b3d

105323325 has 24 divisors (see below), whose sum is σ = 181708608. Its totient is φ = 53729280.

The previous prime is 105323311. The next prime is 105323329. The reversal of 105323325 is 523323501.

It is a happy number.

It is not a de Polignac number, because 105323325 - 28 = 105323069 is a prime.

It is a super-2 number, since 2×1053233252 = 22186005578111250, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105323295 and 105323304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105323329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28804 + ... + 32253.

It is an arithmetic number, because the mean of its divisors is an integer number (7571192).

Almost surely, 2105323325 is an apocalyptic number.

105323325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105323325 is a deficient number, since it is larger than the sum of its proper divisors (76385283).

105323325 is a wasteful number, since it uses less digits than its factorization.

105323325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61093 (or 61088 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 105323325 is about 10262.7152839782. The cubic root of 105323325 is about 472.2531394342.

Adding to 105323325 its reverse (523323501), we get a palindrome (628646826).

The spelling of 105323325 in words is "one hundred five million, three hundred twenty-three thousand, three hundred twenty-five".

Divisors: 1 3 5 15 23 25 69 75 115 345 575 1725 61057 183171 305285 915855 1404311 1526425 4212933 4579275 7021555 21064665 35107775 105323325