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105126108 = 22321141519
BaseRepresentation
bin1100100010000…
…01100011011100
321022210221220120
412101001203130
5203403013413
614233114540
72414362053
oct621014334
9238727816
10105126108
115438288a
122b258a50
1318a19ac9
14dd6739a
159368723
hex64418dc

105126108 has 24 divisors (see below), whose sum is σ = 246462720. Its totient is φ = 34875120.

The previous prime is 105126103. The next prime is 105126121. The reversal of 105126108 is 801621501.

It is a super-2 number, since 2×1051261082 = 22102997166455328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105126103) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 18228 + ... + 23291.

It is an arithmetic number, because the mean of its divisors is an integer number (10269280).

Almost surely, 2105126108 is an apocalyptic number.

It is an amenable number.

105126108 is an abundant number, since it is smaller than the sum of its proper divisors (141336612).

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

105126108 is a wasteful number, since it uses less digits than its factorization.

105126108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41737 (or 41735 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 105126108 is about 10253.1023597738. The cubic root of 105126108 is about 471.9581919782.

Adding to 105126108 its reverse (801621501), we get a palindrome (906747609).

The spelling of 105126108 in words is "one hundred five million, one hundred twenty-six thousand, one hundred eight".

Divisors: 1 2 3 4 6 12 211 422 633 844 1266 2532 41519 83038 124557 166076 249114 498228 8760509 17521018 26281527 35042036 52563054 105126108