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106192471 = 71110712889
BaseRepresentation
bin1100101010001…
…01111001010111
321101211010200111
412111011321113
5204141124341
614312023451
72426423020
oct625057127
9241733614
10106192471
1154a40a80
122b691b87
13190012a8
1410163c47
1594c9681
hex6545e57

106192471 has 16 divisors (see below), whose sum is σ = 133643520. Its totient is φ = 81967680.

The previous prime is 106192469. The next prime is 106192477. The reversal of 106192471 is 174291601.

It is a cyclic number.

It is not a de Polignac number, because 106192471 - 21 = 106192469 is a prime.

It is a super-3 number, since 3×1061924713 (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 (106192477) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1795 + ... + 14683.

It is an arithmetic number, because the mean of its divisors is an integer number (8352720).

Almost surely, 2106192471 is an apocalyptic number.

106192471 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106192471 is a deficient number, since it is larger than the sum of its proper divisors (27451049).

106192471 is a wasteful number, since it uses less digits than its factorization.

106192471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13014.

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 106192471 is about 10304.9731198097. The cubic root of 106192471 is about 473.5486201884.

The spelling of 106192471 in words is "one hundred six million, one hundred ninety-two thousand, four hundred seventy-one".

Divisors: 1 7 11 77 107 749 1177 8239 12889 90223 141779 992453 1379123 9653861 15170353 106192471