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105742126 = 277553009
BaseRepresentation
bin1100100110101…
…11111100101110
321100222020221001
412103113330232
5204032222001
614254230514
72422536040
oct623277456
9240866831
10105742126
1154763696
122b4b543a
1318ba4309
1410087a90
15943b001
hex64d7f2e

105742126 has 8 divisors (see below), whose sum is σ = 181272240. Its totient is φ = 45318048.

The previous prime is 105742121. The next prime is 105742181. The reversal of 105742126 is 621247501.

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

It is a super-2 number, since 2×1057421262 = 22362794421999752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105742094 and 105742103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105742121) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 3776491 + ... + 3776518.

It is an arithmetic number, because the mean of its divisors is an integer number (22659030).

Almost surely, 2105742126 is an apocalyptic number.

105742126 is a deficient number, since it is larger than the sum of its proper divisors (75530114).

105742126 is an equidigital number, since it uses as much as digits as its factorization.

105742126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7553018.

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 105742126 is about 10283.0990464937. The cubic root of 105742126 is about 472.8782574312.

Adding to 105742126 its reverse (621247501), we get a palindrome (726989627).

The spelling of 105742126 in words is "one hundred five million, seven hundred forty-two thousand, one hundred twenty-six".

Divisors: 1 2 7 14 7553009 15106018 52871063 105742126