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106210521 = 341311241
BaseRepresentation
bin1100101010010…
…10010011011001
321101212001110000
412111022103121
5204142214041
614312243213
72426526444
oct625122331
9241761400
10106210521
1154a5359a
122b6a0509
1319009581
141016a65b
1594cebb6
hex654a4d9

106210521 has 10 divisors (see below), whose sum is σ = 158660282. Its totient is φ = 70806960.

The previous prime is 106210519. The next prime is 106210529. The reversal of 106210521 is 125012601.

It can be written as a sum of positive squares in only one way, i.e., 80353296 + 25857225 = 8964^2 + 5085^2 .

It is not a de Polignac number, because 106210521 - 21 = 106210519 is a prime.

It is a super-2 number, since 2×1062105212 = 22561349542182882, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106210494 and 106210503.

It is not an unprimeable number, because it can be changed into a prime (106210529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 655540 + ... + 655701.

Almost surely, 2106210521 is an apocalyptic number.

It is an amenable number.

106210521 is a deficient number, since it is larger than the sum of its proper divisors (52449761).

106210521 is an equidigital number, since it uses as much as digits as its factorization.

106210521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311253 (or 1311244 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 106210521 is about 10305.8488733340. The cubic root of 106210521 is about 473.5754490470.

The spelling of 106210521 in words is "one hundred six million, two hundred ten thousand, five hundred twenty-one".

Divisors: 1 3 9 27 81 1311241 3933723 11801169 35403507 106210521