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106441608 = 233713223163
BaseRepresentation
bin1100101100000…
…10101110001000
321102021210102210
412112002232020
5204222112413
614321225120
72431511250
oct626025610
9242253383
10106441608
11550a1179
122b7921a0
131908a800
14101ca960
1595283c3
hex6582b88

106441608 has 192 divisors, whose sum is σ = 345738240. Its totient is φ = 26687232.

The previous prime is 106441589. The next prime is 106441633. The reversal of 106441608 is 806144601.

It is a super-2 number, since 2×1064416082 = 22659631827251328, which contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 652935 + ... + 653097.

It is an arithmetic number, because the mean of its divisors is an integer number (1800720).

Almost surely, 2106441608 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 106441608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172869120).

106441608 is an abundant number, since it is smaller than the sum of its proper divisors (239296632).

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

106441608 is a wasteful number, since it uses less digits than its factorization.

106441608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 106441608 is about 10317.0542307385. The cubic root of 106441608 is about 473.9186600443.

The spelling of 106441608 in words is "one hundred six million, four hundred forty-one thousand, six hundred eight".