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106344525 = 3527238807
BaseRepresentation
bin1100101011010…
…11000001001101
321102002212021010
412111223001031
5204211011100
614315155433
72430625230
oct625530115
9242085233
10106344525
1155035241
122b745b79
1319055571
14101a3417
159509750
hex656b04d

106344525 has 48 divisors (see below), whose sum is σ = 209700864. Its totient is φ = 46495680.

The previous prime is 106344523. The next prime is 106344541. The reversal of 106344525 is 525443601.

It is not a de Polignac number, because 106344525 - 21 = 106344523 is a prime.

It is a super-2 number, since 2×1063445252 = 22618315994951250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106344492 and 106344501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106344521) 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 47 ways as a sum of consecutive naturals, for example, 7672 + ... + 16478.

It is an arithmetic number, because the mean of its divisors is an integer number (4368768).

Almost surely, 2106344525 is an apocalyptic number.

106344525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106344525 is a deficient number, since it is larger than the sum of its proper divisors (103356339).

106344525 is a wasteful number, since it uses less digits than its factorization.

106344525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8850 (or 8845 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 106344525 is about 10312.3481807006. The cubic root of 106344525 is about 473.7745326950.

The spelling of 106344525 in words is "one hundred six million, three hundred forty-four thousand, five hundred twenty-five".

Divisors: 1 3 5 7 15 21 23 25 35 69 75 105 115 161 175 345 483 525 575 805 1725 2415 4025 8807 12075 26421 44035 61649 132105 184947 202561 220175 308245 607683 660525 924735 1012805 1417927 1541225 3038415 4253781 4623675 5064025 7089635 15192075 21268905 35448175 106344525