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106644288 = 263555439
BaseRepresentation
bin1100101101101…
…00001101000000
321102200002110110
412112310031000
5204300104123
614325431320
72433314202
oct626641500
9242602413
10106644288
115521a483
122b86b540
131912bb3a
1410240772
159568493
hex65b4340

106644288 has 28 divisors (see below), whose sum is σ = 282163520. Its totient is φ = 35548032.

The previous prime is 106644259. The next prime is 106644289. The reversal of 106644288 is 882446601.

It is a super-2 number, since 2×1066442882 = 22746008326053888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106644289) 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 3 ways as a sum of consecutive naturals, for example, 277528 + ... + 277911.

Almost surely, 2106644288 is an apocalyptic number.

It is an amenable number.

106644288 is an abundant number, since it is smaller than the sum of its proper divisors (175519232).

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

106644288 is an equidigital number, since it uses as much as digits as its factorization.

106644288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555454 (or 555444 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 106644288 is about 10326.8721305146. The cubic root of 106644288 is about 474.2192722250.

It can be divided in two parts, 1066442 and 88, that added together give a triangular number (1066530 = T1460).

The spelling of 106644288 in words is "one hundred six million, six hundred forty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 555439 1110878 1666317 2221756 3332634 4443512 6665268 8887024 13330536 17774048 26661072 35548096 53322144 106644288