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106571521 = 7217314127
BaseRepresentation
bin1100101101000…
…10011100000001
321102112101122101
412112202130001
5204240242041
614324110401
72432562100
oct626423401
9242471571
10106571521
115517a841
122b835401
1319104994
1410222037
159551b31
hex65a2701

106571521 has 24 divisors (see below), whose sum is σ = 135530496. Its totient is φ = 83180160.

The previous prime is 106571471. The next prime is 106571527. The reversal of 106571521 is 125175601.

It is not a de Polignac number, because 106571521 - 29 = 106571009 is a prime.

It is a super-2 number, since 2×1065715212 = 22714978176506882, which contains 22 as substring.

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 106571521.

It is not an unprimeable number, because it can be changed into a prime (106571527) 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 23 ways as a sum of consecutive naturals, for example, 23760 + ... + 27886.

It is an arithmetic number, because the mean of its divisors is an integer number (5647104).

Almost surely, 2106571521 is an apocalyptic number.

It is an amenable number.

106571521 is a deficient number, since it is larger than the sum of its proper divisors (28958975).

106571521 is a wasteful number, since it uses less digits than its factorization.

106571521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4189 (or 4182 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 28.

The square root of 106571521 is about 10323.3483424711. The cubic root of 106571521 is about 474.1113890745. Note that the first 3 decimals are identical.

The spelling of 106571521 in words is "one hundred six million, five hundred seventy-one thousand, five hundred twenty-one".

Divisors: 1 7 17 31 49 119 217 527 833 1519 3689 4127 25823 28889 70159 127937 202223 491113 895559 2174929 3437791 6268913 15224503 106571521