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106441353 = 3210721033
BaseRepresentation
bin1100101100000…
…10101010001001
321102021210002100
412112002222021
5204222110403
614321224013
72431510434
oct626025211
9242253070
10106441353
11550a0a67
122b792009
131908a665
14101ca81b
1595282a3
hex6582a89

106441353 has 18 divisors (see below), whose sum is σ = 155349194. Its totient is φ = 70229664.

The previous prime is 106441273. The next prime is 106441381. The reversal of 106441353 is 353144601.

106441353 is a `hidden beast` number, since 1 + 0 + 644 + 13 + 5 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 105513984 + 927369 = 10272^2 + 963^2 .

It is not a de Polignac number, because 106441353 - 212 = 106437257 is a prime.

It is a super-2 number, since 2×1064413532 = 22659523256941218, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106441393) 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 17 ways as a sum of consecutive naturals, for example, 102525 + ... + 103557.

Almost surely, 2106441353 is an apocalyptic number.

It is an amenable number.

106441353 is a deficient number, since it is larger than the sum of its proper divisors (48907841).

106441353 is a wasteful number, since it uses less digits than its factorization.

106441353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 106441353 is about 10317.0418725524. The cubic root of 106441353 is about 473.9182815915.

Adding to 106441353 its reverse (353144601), we get a palindrome (459585954).

The spelling of 106441353 in words is "one hundred six million, four hundred forty-one thousand, three hundred fifty-three".

Divisors: 1 3 9 107 321 963 1033 3099 9297 11449 34347 103041 110531 331593 994779 11826817 35480451 106441353