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106203336 = 23329331461
BaseRepresentation
bin1100101010010…
…00100011001000
321101211200120220
412111020203020
5204142001321
614312150040
72426466501
oct625104310
9241750526
10106203336
1154a49158
122b698320
1319006215
1410167ba8
1594cc9c6
hex65488c8

106203336 has 64 divisors (see below), whose sum is σ = 276091200. Its totient is φ = 34003200.

The previous prime is 106203323. The next prime is 106203337. The reversal of 106203336 is 633302601.

It is a super-2 number, since 2×1062033362 = 22558297155057792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (106203337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230146 + ... + 230606.

It is an arithmetic number, because the mean of its divisors is an integer number (4313925).

Almost surely, 2106203336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106203336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138045600).

106203336 is an abundant number, since it is smaller than the sum of its proper divisors (169887864).

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

106203336 is a wasteful number, since it uses less digits than its factorization.

106203336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 106203336 is about 10305.5002789772. The cubic root of 106203336 is about 473.5647698905.

Adding to 106203336 its reverse (633302601), we get a palindrome (739505937).

The spelling of 106203336 in words is "one hundred six million, two hundred three thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 331 348 461 662 696 922 993 1324 1383 1844 1986 2648 2766 3688 3972 5532 7944 9599 11064 13369 19198 26738 28797 38396 40107 53476 57594 76792 80214 106952 115188 152591 160428 230376 305182 320856 457773 610364 915546 1220728 1831092 3662184 4425139 8850278 13275417 17700556 26550834 35401112 53101668 106203336