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106334250 = 23531112889
BaseRepresentation
bin1100101011010…
…00100000101010
321102002100011120
412111220200222
5204210144000
614315040110
72430553251
oct625504052
9242070146
10106334250
1155028550
122b740036
1319050999
141019d798
1595066a0
hex656882a

106334250 has 64 divisors (see below), whose sum is σ = 289560960. Its totient is φ = 25776000.

The previous prime is 106334233. The next prime is 106334251. The reversal of 106334250 is 52433601.

It is a happy number.

It is a super-2 number, since 2×1063342502 = 22613945446125000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106334250.

It is not an unprimeable number, because it can be changed into a prime (106334251) 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 31 ways as a sum of consecutive naturals, for example, 1806 + ... + 14694.

It is an arithmetic number, because the mean of its divisors is an integer number (4524390).

Almost surely, 2106334250 is an apocalyptic number.

106334250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106334250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144780480).

106334250 is an abundant number, since it is smaller than the sum of its proper divisors (183226710).

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

106334250 is a wasteful number, since it uses less digits than its factorization.

106334250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12920 (or 12910 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 106334250 is about 10311.8499795139. The cubic root of 106334250 is about 473.7592735170.

Adding to 106334250 its reverse (52433601), we get a palindrome (158767851).

The spelling of 106334250 in words is "one hundred six million, three hundred thirty-four thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 125 150 165 250 275 330 375 550 750 825 1375 1650 2750 4125 8250 12889 25778 38667 64445 77334 128890 141779 193335 283558 322225 386670 425337 644450 708895 850674 966675 1417790 1611125 1933350 2126685 3222250 3544475 4253370 4833375 7088950 9666750 10633425 17722375 21266850 35444750 53167125 106334250