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123166105 = 5171449013
BaseRepresentation
bin1110101011101…
…01110110011001
322120202111010121
413111311312121
5223012303410
620115513241
73023615566
oct725656631
9276674117
10123166105
1163584577
12352b8821
131c69506a
141250186d
15ac2d9da
hex7575d99

123166105 has 8 divisors (see below), whose sum is σ = 156493512. Its totient is φ = 92736768.

The previous prime is 123166097. The next prime is 123166123. The reversal of 123166105 is 501661321.

It can be written as a sum of positive squares in 4 ways, for example, as 12411529 + 110754576 = 3523^2 + 10524^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 123166105 - 23 = 123166097 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 123166105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 724422 + ... + 724591.

It is an arithmetic number, because the mean of its divisors is an integer number (19561689).

Almost surely, 2123166105 is an apocalyptic number.

It is an amenable number.

123166105 is a deficient number, since it is larger than the sum of its proper divisors (33327407).

123166105 is a wasteful number, since it uses less digits than its factorization.

123166105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449035.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 123166105 is about 11098.0225716116. The cubic root of 123166105 is about 497.5427502972.

The spelling of 123166105 in words is "one hundred twenty-three million, one hundred sixty-six thousand, one hundred five".

Divisors: 1 5 17 85 1449013 7245065 24633221 123166105