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105501344 = 2513253609
BaseRepresentation
bin1100100100111…
…01001010100000
321100112000122012
412102131022200
5204002020334
614245132052
72420514044
oct622351240
9240460565
10105501344
11546097a3
122b3ba028
1318b1b840
1410024024
1593de9ce
hex649d2a0

105501344 has 24 divisors (see below), whose sum is σ = 223684020. Its totient is φ = 48692736.

The previous prime is 105501311. The next prime is 105501367. The reversal of 105501344 is 443105501.

It can be written as a sum of positive squares in 2 ways, for example, as 98803600 + 6697744 = 9940^2 + 2588^2 .

It is a super-2 number, since 2×1055013442 = 22261067171612672, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 126389 + ... + 127220.

Almost surely, 2105501344 is an apocalyptic number.

It is an amenable number.

105501344 is an abundant number, since it is smaller than the sum of its proper divisors (118182676).

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

105501344 is a wasteful number, since it uses less digits than its factorization.

105501344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253632 (or 253624 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 105501344 is about 10271.3847167750. The cubic root of 105501344 is about 472.5190593546.

Adding to 105501344 its reverse (443105501), we get a palindrome (548606845).

The spelling of 105501344 in words is "one hundred five million, five hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 253609 507218 1014436 2028872 3296917 4057744 6593834 8115488 13187668 26375336 52750672 105501344