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105344530 = 2529363257
BaseRepresentation
bin1100100011101…
…10111000010010
321100020001112021
412101312320102
5203432011110
614241522054
72416261624
oct621667022
9240201467
10105344530
11545119a5
122b34332a
1318a95355
14ddc2c14
1593ad2da
hex6476e12

105344530 has 16 divisors (see below), whose sum is σ = 196159320. Its totient is φ = 40684672.

The previous prime is 105344527. The next prime is 105344537. The reversal of 105344530 is 35443501.

It can be written as a sum of positive squares in 4 ways, for example, as 95628841 + 9715689 = 9779^2 + 3117^2 .

It is a super-3 number, since 3×1053445303 (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 = 105344495 and 105344504.

It is not an unprimeable number, because it can be changed into a prime (105344537) 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, 181339 + ... + 181918.

Almost surely, 2105344530 is an apocalyptic number.

105344530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105344530 is a deficient number, since it is larger than the sum of its proper divisors (90814790).

105344530 is a wasteful number, since it uses less digits than its factorization.

105344530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363293.

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 105344530 is about 10263.7483406405. The cubic root of 105344530 is about 472.2848305967.

The spelling of 105344530 in words is "one hundred five million, three hundred forty-four thousand, five hundred thirty".

Divisors: 1 2 5 10 29 58 145 290 363257 726514 1816285 3632570 10534453 21068906 52672265 105344530