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106343360 = 265439757
BaseRepresentation
bin1100101011010…
…10101111000000
321102002210122222
412111222233000
5204210441420
614315150212
72430621644
oct625525700
9242083588
10106343360
1155034382
122b745368
1319054b86
14101a2c24
159509225
hex656abc0

106343360 has 56 divisors (see below), whose sum is σ = 254142240. Its totient is φ = 42384384.

The previous prime is 106343359. The next prime is 106343389. The reversal of 106343360 is 63343601.

It is a super-2 number, since 2×1063433602 = 22617820432179200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 140102 + ... + 140858.

Almost surely, 2106343360 is an apocalyptic number.

106343360 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 106343360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127071120).

106343360 is an abundant number, since it is smaller than the sum of its proper divisors (147798880).

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

106343360 is an equidigital number, since it uses as much as digits as its factorization.

106343360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

The square root of 106343360 is about 10312.2916948659. The cubic root of 106343360 is about 473.7728026284.

Adding to 106343360 its reverse (63343601), we get a palindrome (169686961).

The spelling of 106343360 in words is "one hundred six million, three hundred forty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 439 757 878 1514 1756 2195 3028 3512 3785 4390 6056 7024 7570 8780 12112 14048 15140 17560 24224 28096 30280 35120 48448 60560 70240 121120 140480 242240 332323 664646 1329292 1661615 2658584 3323230 5317168 6646460 10634336 13292920 21268672 26585840 53171680 106343360