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105848925 = 35271321193
BaseRepresentation
bin1100100111100…
…10000001011101
321101011200102120
412103302001131
5204044131200
614300413153
72423462310
oct623620135
9241150376
10105848925
1154826956
122b5471b9
1318c10b00
14100b4977
15945c9a0
hex64f205d

105848925 has 72 divisors (see below), whose sum is σ = 216753984. Its totient is φ = 44628480.

The previous prime is 105848923. The next prime is 105848947. The reversal of 105848925 is 529848501.

It is a happy number.

It is not a de Polignac number, because 105848925 - 21 = 105848923 is a prime.

It is a super-2 number, since 2×1058489252 = 22407989847311250, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105848923) 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 71 ways as a sum of consecutive naturals, for example, 88129 + ... + 89321.

It is an arithmetic number, because the mean of its divisors is an integer number (3010472).

Almost surely, 2105848925 is an apocalyptic number.

105848925 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105848925 is an abundant number, since it is smaller than the sum of its proper divisors (110905059).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105848925 is a wasteful number, since it uses less digits than its factorization.

105848925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The square root of 105848925 is about 10288.2906743540. The cubic root of 105848925 is about 473.0374053945.

The spelling of 105848925 in words is "one hundred five million, eight hundred forty-eight thousand, nine hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 65 75 91 105 169 175 195 273 325 455 507 525 845 975 1183 1193 1365 2275 2535 3549 3579 4225 5915 5965 6825 8351 12675 15509 17745 17895 25053 29575 29825 41755 46527 77545 88725 89475 108563 125265 201617 208775 232635 325689 387725 542815 604851 626325 1008085 1163175 1411319 1628445 2714075 3024255 4233957 5040425 7056595 8142225 15121275 21169785 35282975 105848925