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106705473 = 3767181419
BaseRepresentation
bin1100101110000…
…11001001000001
321102210012101120
412113003021001
5204304033343
614331022453
72433660450
oct627031101
9242705346
10106705473
1155261446
122b89aa29
1319150944
1410258b97
15957b683
hex65c3241

106705473 has 32 divisors (see below), whose sum is σ = 166333440. Its totient is φ = 59590080.

The previous prime is 106705457. The next prime is 106705477. The reversal of 106705473 is 374507601.

It is not a de Polignac number, because 106705473 - 24 = 106705457 is a prime.

It is a super-2 number, since 2×1067054732 = 22772115936307458, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106705477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254458 + ... + 254876.

It is an arithmetic number, because the mean of its divisors is an integer number (5197920).

Almost surely, 2106705473 is an apocalyptic number.

It is an amenable number.

106705473 is a deficient number, since it is larger than the sum of its proper divisors (59627967).

106705473 is a wasteful number, since it uses less digits than its factorization.

106705473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677.

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 106705473 is about 10329.8341225791. The cubic root of 106705473 is about 474.3099461202.

The spelling of 106705473 in words is "one hundred six million, seven hundred five thousand, four hundred seventy-three".

Divisors: 1 3 7 21 67 181 201 419 469 543 1257 1267 1407 2933 3801 8799 12127 28073 36381 75839 84219 84889 196511 227517 254667 530873 589533 1592619 5081213 15243639 35568491 106705473