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106005523 = 13173115473
BaseRepresentation
bin1100101000110…
…00010000010011
321101110122020111
412110120100103
5204114134043
614304022151
72425014001
oct624302023
9241418214
10106005523
1154923578
122b601957
1318c67180
1410115a71
15948e09d
hex6518413

106005523 has 16 divisors (see below), whose sum is σ = 124782336. Its totient is φ = 89118720.

The previous prime is 106005521. The next prime is 106005589. The reversal of 106005523 is 325500601.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 106005523 - 21 = 106005521 is a prime.

It is a super-2 number, since 2×1060055232 = 22474341813007058, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106005494 and 106005503.

It is not an unprimeable number, because it can be changed into a prime (106005521) 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, 886 + ... + 14587.

It is an arithmetic number, because the mean of its divisors is an integer number (7798896).

Almost surely, 2106005523 is an apocalyptic number.

106005523 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

106005523 is a deficient number, since it is larger than the sum of its proper divisors (18776813).

106005523 is a wasteful number, since it uses less digits than its factorization.

106005523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15534.

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 106005523 is about 10295.8983580842. The cubic root of 106005523 is about 473.2705685583.

The spelling of 106005523 in words is "one hundred six million, five thousand, five hundred twenty-three".

Divisors: 1 13 17 31 221 403 527 6851 15473 201149 263041 479663 3419533 6235619 8154271 106005523