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106611093 = 3383113421
BaseRepresentation
bin1100101101011…
…00000110010101
321102121101221000
412112230012111
5204243023333
614325013513
72433115341
oct626540625
9242541830
10106611093
11551a7546
122b854299
13191199b4
1410232621
15955d713
hex65ac195

106611093 has 32 divisors (see below), whose sum is σ = 161642880. Its totient is φ = 69431040.

The previous prime is 106611079. The next prime is 106611133. The reversal of 106611093 is 390116601.

It is not a de Polignac number, because 106611093 - 210 = 106610069 is a prime.

It is a super-2 number, since 2×1066110932 = 22731850301309298, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106611013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253023 + ... + 253443.

It is an arithmetic number, because the mean of its divisors is an integer number (5051340).

Almost surely, 2106611093 is an apocalyptic number.

It is an amenable number.

106611093 is a deficient number, since it is larger than the sum of its proper divisors (55031787).

106611093 is a wasteful number, since it uses less digits than its factorization.

106611093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 106611093 is about 10325.2647907935. The cubic root of 106611093 is about 474.1700639563.

Adding to 106611093 its reverse (390116601), we get a palindrome (496727694).

The spelling of 106611093 in words is "one hundred six million, six hundred eleven thousand, ninety-three".

Divisors: 1 3 9 27 83 113 249 339 421 747 1017 1263 2241 3051 3789 9379 11367 28137 34943 47573 84411 104829 142719 253233 314487 428157 943461 1284471 3948559 11845677 35537031 106611093