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106385131 = 522720353
BaseRepresentation
bin1100101011101…
…00111011101011
321102011220222001
412111310323223
5204213311011
614320111431
72431154506
oct625647353
9242156861
10106385131
11550627a6
122b765577
131906aba8
14101b413d
1595167c1
hex6574eeb

106385131 has 4 divisors (see below), whose sum is σ = 106410712. Its totient is φ = 106359552.

The previous prime is 106385129. The next prime is 106385177. The reversal of 106385131 is 131583601.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 106385131 - 21 = 106385129 is a prime.

It is a super-3 number, since 3×1063851313 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 106385131.

It is not an unprimeable number, because it can be changed into a prime (106383131) 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, 4950 + ... + 15403.

It is an arithmetic number, because the mean of its divisors is an integer number (26602678).

Almost surely, 2106385131 is an apocalyptic number.

106385131 is a deficient number, since it is larger than the sum of its proper divisors (25581).

106385131 is an equidigital number, since it uses as much as digits as its factorization.

106385131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25580.

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 106385131 is about 10314.3167975392. The cubic root of 106385131 is about 473.8348261629.

It can be divided in two parts, 1063851 and 31, that multiplied together give a triangular number (32979381 = T8121).

The spelling of 106385131 in words is "one hundred six million, three hundred eighty-five thousand, one hundred thirty-one".

Divisors: 1 5227 20353 106385131