Search a number
-
+
105325269 = 3741149821
BaseRepresentation
bin1100100011100…
…10001011010101
321100012002002220
412101302023111
5203430402034
614241252553
72416151520
oct621621325
9240162086
10105325269
11544a9485
122b334159
1318a8965a
14ddb9bb7
1593a7749
hex64722d5

105325269 has 32 divisors (see below), whose sum is σ = 165715200. Its totient is φ = 58252800.

The previous prime is 105325243. The next prime is 105325289. The reversal of 105325269 is 962523501.

It is not a de Polignac number, because 105325269 - 27 = 105325141 is a prime.

It is a super-2 number, since 2×1053252692 = 22186824579844722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105325289) 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 31 ways as a sum of consecutive naturals, for example, 127879 + ... + 128699.

It is an arithmetic number, because the mean of its divisors is an integer number (5178600).

Almost surely, 2105325269 is an apocalyptic number.

It is an amenable number.

105325269 is a deficient number, since it is larger than the sum of its proper divisors (60389931).

105325269 is a wasteful number, since it uses less digits than its factorization.

105325269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021.

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 105325269 is about 10262.8099953180. The cubic root of 105325269 is about 472.2560449459.

The spelling of 105325269 in words is "one hundred five million, three hundred twenty-five thousand, two hundred sixty-nine".

Divisors: 1 3 7 21 41 123 149 287 447 821 861 1043 2463 3129 5747 6109 17241 18327 33661 42763 100983 122329 128289 235627 366987 706881 856303 2568909 5015489 15046467 35108423 105325269