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106664131 = 7217912161
BaseRepresentation
bin1100101101110…
…01000011000011
321102201002200101
412112321003003
5204301223011
614330103231
72433426100
oct626710303
9242632611
10106664131
1155233382
122b87ab17
1319137b92
1410247aa7
15956e2c1
hex65b90c3

106664131 has 12 divisors (see below), whose sum is σ = 124782120. Its totient is φ = 90908160.

The previous prime is 106664099. The next prime is 106664161. The reversal of 106664131 is 131466601.

It is not a de Polignac number, because 106664131 - 25 = 106664099 is a prime.

It is a super-2 number, since 2×1066641312 = 22754473683970322, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106664131.

It is not an unprimeable number, because it can be changed into a prime (106664161) 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 11 ways as a sum of consecutive naturals, for example, 2691 + ... + 14851.

It is an arithmetic number, because the mean of its divisors is an integer number (10398510).

Almost surely, 2106664131 is an apocalyptic number.

106664131 is a deficient number, since it is larger than the sum of its proper divisors (18117989).

106664131 is a wasteful number, since it uses less digits than its factorization.

106664131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12354 (or 12347 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 106664131 is about 10327.8328317222. The cubic root of 106664131 is about 474.2486826123.

The spelling of 106664131 in words is "one hundred six million, six hundred sixty-four thousand, one hundred thirty-one".

Divisors: 1 7 49 179 1253 8771 12161 85127 595889 2176819 15237733 106664131