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106132368 = 2436133607
BaseRepresentation
bin1100101001101…
…11001110010000
321101201002020110
412110313032100
5204132213433
614310441320
72426052546
oct624671620
9241632213
10106132368
11549aa901
122b663240
1318cacb24
1410149d96
1594b6963
hex6537390

106132368 has 40 divisors (see below), whose sum is σ = 274698688. Its totient is φ = 35309952.

The previous prime is 106132361. The next prime is 106132381. The reversal of 106132368 is 863231601.

It is a super-2 number, since 2×1061323682 = 22528159074574848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106132361) 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 7 ways as a sum of consecutive naturals, for example, 27621 + ... + 31227.

Almost surely, 2106132368 is an apocalyptic number.

It is an amenable number.

106132368 is an abundant number, since it is smaller than the sum of its proper divisors (168566320).

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

106132368 is a wasteful number, since it uses less digits than its factorization.

106132368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4231 (or 4225 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 106132368 is about 10302.0564937298. The cubic root of 106132368 is about 473.4592633701.

Adding to 106132368 its reverse (863231601), we get a palindrome (969363969).

The spelling of 106132368 in words is "one hundred six million, one hundred thirty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 613 1226 1839 2452 3607 3678 4904 7214 7356 9808 10821 14428 14712 21642 28856 29424 43284 57712 86568 173136 2211091 4422182 6633273 8844364 13266546 17688728 26533092 35377456 53066184 106132368