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105310434 = 2318799341
BaseRepresentation
bin1100100011011…
…10100011100010
321100011022202110
412101232203202
5203424413214
614241100150
72416060335
oct621564342
9240138673
10105310434
1154499319
122b327656
1318a82988
14ddb461c
1593a3159
hex646e8e2

105310434 has 16 divisors (see below), whose sum is σ = 210755520. Its totient is φ = 35081040.

The previous prime is 105310423. The next prime is 105310451. The reversal of 105310434 is 434013501.

It is a super-2 number, since 2×1053104342 = 22180575018536712, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105310434.

It is an unprimeable number.

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, 6604 + ... + 15944.

It is an arithmetic number, because the mean of its divisors is an integer number (13172220).

Almost surely, 2105310434 is an apocalyptic number.

105310434 is an abundant number, since it is smaller than the sum of its proper divisors (105445086).

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

105310434 is a wasteful number, since it uses less digits than its factorization.

105310434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11225.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 105310434 is about 10262.0872145972. The cubic root of 105310434 is about 472.2338715793.

Adding to 105310434 its reverse (434013501), we get a palindrome (539323935).

The spelling of 105310434 in words is "one hundred five million, three hundred ten thousand, four hundred thirty-four".

Divisors: 1 2 3 6 1879 3758 5637 9341 11274 18682 28023 56046 17551739 35103478 52655217 105310434