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105166103 = 722146247
BaseRepresentation
bin1100100010010…
…11010100010111
321022212222202212
412101023110113
5203410303403
614234024035
72414616500
oct621132427
9238788685
10105166103
11543aa939
122b27801b
1318a32083
14dd77ba7
1593754d8
hex644b517

105166103 has 6 divisors (see below), whose sum is σ = 122336136. Its totient is φ = 90142332.

The previous prime is 105166031. The next prime is 105166129. The reversal of 105166103 is 301661501.

It is a happy number.

It is not a de Polignac number, because 105166103 - 210 = 105165079 is a prime.

It is a super-2 number, since 2×1051661032 = 22119818440413218, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105166153) 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 5 ways as a sum of consecutive naturals, for example, 1073075 + ... + 1073172.

It is an arithmetic number, because the mean of its divisors is an integer number (20389356).

Almost surely, 2105166103 is an apocalyptic number.

105166103 is a deficient number, since it is larger than the sum of its proper divisors (17170033).

105166103 is an equidigital number, since it uses as much as digits as its factorization.

105166103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146261 (or 2146254 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 105166103 is about 10255.0525595923. The cubic root of 105166103 is about 472.0180362135.

The spelling of 105166103 in words is "one hundred five million, one hundred sixty-six thousand, one hundred three".

Divisors: 1 7 49 2146247 15023729 105166103