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105608836 = 2229910421
BaseRepresentation
bin1100100101101…
…11011010000100
321100201111002101
412102313122010
5204013440321
614251321444
72421442324
oct622673204
9240644071
10105608836
1154682533
122b450284
1318b58748
1410051284
159411791
hex64b7684

105608836 has 12 divisors (see below), whose sum is σ = 191188620. Its totient is φ = 50983520.

The previous prime is 105608831. The next prime is 105608837. The reversal of 105608836 is 638806501.

It can be written as a sum of positive squares in 2 ways, for example, as 83612736 + 21996100 = 9144^2 + 4690^2 .

It is a super-2 number, since 2×1056088362 = 22306452482549792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105608795 and 105608804.

It is not an unprimeable number, because it can be changed into a prime (105608831) 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 3 ways as a sum of consecutive naturals, for example, 455095 + ... + 455326.

It is an arithmetic number, because the mean of its divisors is an integer number (15932385).

Almost surely, 2105608836 is an apocalyptic number.

It is an amenable number.

105608836 is a deficient number, since it is larger than the sum of its proper divisors (85579784).

105608836 is a wasteful number, since it uses less digits than its factorization.

105608836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910454 (or 910452 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 105608836 is about 10276.6159799810. The cubic root of 105608836 is about 472.6794831508.

It can be divided in two parts, 105608 and 836, that multiplied together give a palindrome (88288288).

The spelling of 105608836 in words is "one hundred five million, six hundred eight thousand, eight hundred thirty-six".

Divisors: 1 2 4 29 58 116 910421 1820842 3641684 26402209 52804418 105608836