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106341441 = 3377331307
BaseRepresentation
bin1100101011010…
…10010001000001
321102002201000220
412111222101001
5204210411231
614315133253
72430613233
oct625522101
9242081026
10106341441
1155032998
122b744229
131905403b
14101a2253
159508896
hex656a441

106341441 has 16 divisors (see below), whose sum is σ = 145930944. Its totient is φ = 68831424.

The previous prime is 106341427. The next prime is 106341493. The reversal of 106341441 is 144143601.

It is not a de Polignac number, because 106341441 - 214 = 106325057 is a prime.

It is a super-2 number, since 2×1063414412 = 22617004147912962, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106341241) 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 15 ways as a sum of consecutive naturals, for example, 80710 + ... + 82016.

It is an arithmetic number, because the mean of its divisors is an integer number (9120684).

Almost surely, 2106341441 is an apocalyptic number.

It is an amenable number.

106341441 is a deficient number, since it is larger than the sum of its proper divisors (39589503).

106341441 is a wasteful number, since it uses less digits than its factorization.

106341441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 106341441 is about 10312.1986501425. The cubic root of 106341441 is about 473.7699528173.

The spelling of 106341441 in words is "one hundred six million, three hundred forty-one thousand, four hundred forty-one".

Divisors: 1 3 37 111 733 1307 2199 3921 27121 48359 81363 145077 958031 2874093 35447147 106341441