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106344520 = 23517198231
BaseRepresentation
bin1100101011010…
…11000001001000
321102002212020221
412111223001020
5204211011040
614315155424
72430625222
oct625530110
9242085227
10106344520
1155035237
122b745b74
1319055569
14101a3412
15950974a
hex656b048

106344520 has 64 divisors (see below), whose sum is σ = 266716800. Its totient is φ = 37923840.

The previous prime is 106344481. The next prime is 106344521. The reversal of 106344520 is 25443601.

It is a super-2 number, since 2×1063445202 = 22618313868060800, which contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8805 + ... + 17035.

It is an arithmetic number, because the mean of its divisors is an integer number (4167450).

Almost surely, 2106344520 is an apocalyptic number.

106344520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106344520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133358400).

106344520 is an abundant number, since it is smaller than the sum of its proper divisors (160372280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106344520 is a wasteful number, since it uses less digits than its factorization.

106344520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8278 (or 8274 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 106344520 is about 10312.3479382728. The cubic root of 106344520 is about 473.7745252699.

The spelling of 106344520 in words is "one hundred six million, three hundred forty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 136 152 170 190 323 340 380 646 680 760 1292 1615 2584 3230 6460 8231 12920 16462 32924 41155 65848 82310 139927 156389 164620 279854 312778 329240 559708 625556 699635 781945 1119416 1251112 1399270 1563890 2658613 2798540 3127780 5317226 5597080 6255560 10634452 13293065 21268904 26586130 53172260 106344520