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106668441 = 3311359153
BaseRepresentation
bin1100101101110…
…10000110011001
321102201022121000
412112322012121
5204301342231
614330135213
72433444465
oct626720631
9242638530
10106668441
1155236640
122b881509
1319139b29
14102494a5
1595706e6
hex65ba199

106668441 has 16 divisors (see below), whose sum is σ = 172393920. Its totient is φ = 64647360.

The previous prime is 106668437. The next prime is 106668449. The reversal of 106668441 is 144866601.

It is not a de Polignac number, because 106668441 - 22 = 106668437 is a prime.

It is a super-2 number, since 2×1066684412 = 22756312610740962, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106668396 and 106668405.

It is not an unprimeable number, because it can be changed into a prime (106668449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179280 + ... + 179873.

It is an arithmetic number, because the mean of its divisors is an integer number (10774620).

Almost surely, 2106668441 is an apocalyptic number.

106668441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106668441 is a deficient number, since it is larger than the sum of its proper divisors (65725479).

106668441 is a wasteful number, since it uses less digits than its factorization.

106668441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359173 (or 359167 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 106668441 is about 10328.0414890724. The cubic root of 106668441 is about 474.2550702151.

The spelling of 106668441 in words is "one hundred six million, six hundred sixty-eight thousand, four hundred forty-one".

Divisors: 1 3 9 11 27 33 99 297 359153 1077459 3232377 3950683 9697131 11852049 35556147 106668441