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106709471 = 1131312931
BaseRepresentation
bin1100101110001…
…00000111011111
321102210101212122
412113010013133
5204304200341
614331053155
72434005221
oct627040737
9242711778
10106709471
1155264450
122b8a11bb
13191526cb
141025a411
15957c94b
hex65c41df

106709471 has 8 divisors (see below), whose sum is σ = 120165888. Its totient is φ = 93879000.

The previous prime is 106709467. The next prime is 106709501. The reversal of 106709471 is 174907601.

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

It is a cyclic number.

It is not a de Polignac number, because 106709471 - 22 = 106709467 is a prime.

It is a super-3 number, since 3×1067094713 (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (106709401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156125 + ... + 156806.

It is an arithmetic number, because the mean of its divisors is an integer number (15020736).

Almost surely, 2106709471 is an apocalyptic number.

106709471 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106709471 is a deficient number, since it is larger than the sum of its proper divisors (13456417).

106709471 is a wasteful number, since it uses less digits than its factorization.

106709471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312973.

The product of its (nonzero) digits is 10584, while the sum is 35.

The square root of 106709471 is about 10330.0276379108. The cubic root of 106709471 is about 474.3158698010.

The spelling of 106709471 in words is "one hundred six million, seven hundred nine thousand, four hundred seventy-one".

Divisors: 1 11 31 341 312931 3442241 9700861 106709471