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105343205 = 5112174121
BaseRepresentation
bin1100100011101…
…10100011100101
321100012222201012
412101312203211
5203431440310
614241512005
72416255022
oct621664345
9240188635
10105343205
1154510a00
122b342605
1318a94876
14ddc2549
1593acc05
hex64768e5

105343205 has 12 divisors (see below), whose sum is σ = 138949356. Its totient is φ = 76612800.

The previous prime is 105343129. The next prime is 105343241. The reversal of 105343205 is 502343501.

It can be written as a sum of positive squares in 2 ways, for example, as 31348801 + 73994404 = 5599^2 + 8602^2 .

It is not a de Polignac number, because 105343205 - 28 = 105342949 is a prime.

It is a super-2 number, since 2×1053432052 = 22194381679344050, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

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, 86456 + ... + 87665.

It is an arithmetic number, because the mean of its divisors is an integer number (11579113).

Almost surely, 2105343205 is an apocalyptic number.

It is an amenable number.

105343205 is a deficient number, since it is larger than the sum of its proper divisors (33606151).

105343205 is a wasteful number, since it uses less digits than its factorization.

105343205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174148 (or 174137 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 105343205 is about 10263.6837928689. The cubic root of 105343205 is about 472.2828504907.

Adding to 105343205 its reverse (502343501), we get a palindrome (607686706).

The spelling of 105343205 in words is "one hundred five million, three hundred forty-three thousand, two hundred five".

Divisors: 1 5 11 55 121 605 174121 870605 1915331 9576655 21068641 105343205