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106664217 = 3113232249
BaseRepresentation
bin1100101101110…
…01000100011001
321102201002210120
412112321010121
5204301223332
614330103453
72433426252
oct626710431
9242632716
10106664217
1155233450
122b87ab89
1319137c2a
1410247b29
15956e32c
hex65b9119

106664217 has 8 divisors (see below), whose sum is σ = 155148000. Its totient is φ = 64644960.

The previous prime is 106664161. The next prime is 106664219. The reversal of 106664217 is 712466601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106664217 - 220 = 105615641 is a prime.

It is a super-2 number, since 2×1066642172 = 22754510376446178, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 3232249 = 106664217 / (1 + 0 + 6 + 6 + 6 + 4 + 2 + 1 + 7).

It is not an unprimeable number, because it can be changed into a prime (106664219) 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 7 ways as a sum of consecutive naturals, for example, 1616092 + ... + 1616157.

It is an arithmetic number, because the mean of its divisors is an integer number (19393500).

Almost surely, 2106664217 is an apocalyptic number.

It is an amenable number.

106664217 is a deficient number, since it is larger than the sum of its proper divisors (48483783).

106664217 is a wasteful number, since it uses less digits than its factorization.

106664217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3232263.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 106664217 is about 10327.8369952280. The cubic root of 106664217 is about 474.2488100696.

The spelling of 106664217 in words is "one hundred six million, six hundred sixty-four thousand, two hundred seventeen".

Divisors: 1 3 11 33 3232249 9696747 35554739 106664217