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106585297 = 7131171267
BaseRepresentation
bin1100101101001…
…01110011010001
321102120002112121
412112211303101
5204241212142
614324254241
72432650210
oct626456321
9242502477
10106585297
115518a125
122b841381
131910b030
1410227077
159555c67
hex65a5cd1

106585297 has 8 divisors (see below), whose sum is σ = 131182016. Its totient is φ = 84331152.

The previous prime is 106585277. The next prime is 106585309. The reversal of 106585297 is 792585601.

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

It is a cyclic number.

It is not a de Polignac number, because 106585297 - 27 = 106585169 is a prime.

It is a super-2 number, since 2×1065852972 = 22720851073156418, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106585207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 585543 + ... + 585724.

It is an arithmetic number, because the mean of its divisors is an integer number (16397752).

Almost surely, 2106585297 is an apocalyptic number.

It is an amenable number.

106585297 is a deficient number, since it is larger than the sum of its proper divisors (24596719).

106585297 is a wasteful number, since it uses less digits than its factorization.

106585297 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171287.

The product of its (nonzero) digits is 151200, while the sum is 43.

The square root of 106585297 is about 10324.0155462882. The cubic root of 106585297 is about 474.1318169119.

The spelling of 106585297 in words is "one hundred six million, five hundred eighty-five thousand, two hundred ninety-seven".

Divisors: 1 7 13 91 1171267 8198869 15226471 106585297