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106752152 = 231310110163
BaseRepresentation
bin1100101110011…
…10100010011000
321102212120102102
412113032202120
5204312032102
614332022532
72434243523
oct627164230
9242776372
10106752152
1155293521
122b901a48
1319168c70
141026bbba
15958a402
hex65ce898

106752152 has 32 divisors (see below), whose sum is σ = 217712880. Its totient is φ = 48777600.

The previous prime is 106752143. The next prime is 106752209. The reversal of 106752152 is 251257601.

It is a super-2 number, since 2×1067521522 = 22792043913262208, 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, 5423 + ... + 15585.

Almost surely, 2106752152 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 106752152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108856440).

106752152 is an abundant number, since it is smaller than the sum of its proper divisors (110960728).

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

106752152 is a wasteful number, since it uses less digits than its factorization.

106752152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10283 (or 10279 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 29.

The square root of 106752152 is about 10332.0933019403. The cubic root of 106752152 is about 474.3790993563.

The spelling of 106752152 in words is "one hundred six million, seven hundred fifty-two thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 101 104 202 404 808 1313 2626 5252 10163 10504 20326 40652 81304 132119 264238 528476 1026463 1056952 2052926 4105852 8211704 13344019 26688038 53376076 106752152