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105343100 = 22522773803
BaseRepresentation
bin1100100011101…
…10100001111100
321100012222120022
412101312201330
5203431434400
614241511312
72416254512
oct621664174
9240188508
10105343100
1154510915
122b342538
1318a947c5
14ddc24b2
1593acb85
hex647687c

105343100 has 36 divisors (see below), whose sum is σ = 229480104. Its totient is φ = 41974080.

The previous prime is 105343081. The next prime is 105343129. The reversal of 105343100 is 1343501.

It is a super-2 number, since 2×1053431002 = 22194337435220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25799 + ... + 29601.

Almost surely, 2105343100 is an apocalyptic number.

105343100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105343100 is an abundant number, since it is smaller than the sum of its proper divisors (124137004).

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

105343100 is a wasteful number, since it uses less digits than its factorization.

105343100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4094 (or 4087 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 105343100 is about 10263.6786777451. The cubic root of 105343100 is about 472.2826935759.

Adding to 105343100 its reverse (1343501), we get a palindrome (106686601).

The spelling of 105343100 in words is "one hundred five million, three hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 277 554 1108 1385 2770 3803 5540 6925 7606 13850 15212 19015 27700 38030 76060 95075 190150 380300 1053431 2106862 4213724 5267155 10534310 21068620 26335775 52671550 105343100