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106727017 = 313442807
BaseRepresentation
bin1100101110010…
…00011001101001
321102211021221111
412113020121221
5204310231032
614331310321
72434110325
oct627103151
9242737844
10106727017
1155276651
122b8ab3a1
131915a6a7
1410262985
159582c47
hex65c8669

106727017 has 4 divisors (see below), whose sum is σ = 110169856. Its totient is φ = 103284180.

The previous prime is 106727011. The next prime is 106727029. The reversal of 106727017 is 710727601.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 106727017 - 215 = 106694249 is a prime.

It is a super-2 number, since 2×1067270172 = 22781312315436578, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31), and also a Moran number because the ratio is a prime number: 3442807 = 106727017 / (1 + 0 + 6 + 7 + 2 + 7 + 0 + 1 + 7).

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 106727017.

It is not an unprimeable number, because it can be changed into a prime (106727011) 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, 1721373 + ... + 1721434.

It is an arithmetic number, because the mean of its divisors is an integer number (27542464).

Almost surely, 2106727017 is an apocalyptic number.

It is an amenable number.

106727017 is a deficient number, since it is larger than the sum of its proper divisors (3442839).

106727017 is an equidigital number, since it uses as much as digits as its factorization.

106727017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3442838.

The product of its (nonzero) digits is 4116, while the sum is 31.

The square root of 106727017 is about 10330.8768746898. The cubic root of 106727017 is about 474.3418652760.

It can be divided in two parts, 10672 and 7017, that added together give a square (17689 = 1332).

The spelling of 106727017 in words is "one hundred six million, seven hundred twenty-seven thousand, seventeen".

Divisors: 1 31 3442807 106727017