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106593233 is a prime number
BaseRepresentation
bin1100101101001…
…11101111010001
321102120111102112
412112213233101
5204241440413
614324355105
72433012305
oct626475721
9242514375
10106593233
115519508a
122b845a95
1319111826
1410229d05
1595582a8
hex65a7bd1

106593233 has 2 divisors, whose sum is σ = 106593234. Its totient is φ = 106593232.

The previous prime is 106593209. The next prime is 106593251. The reversal of 106593233 is 332395601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69772609 + 36820624 = 8353^2 + 6068^2 .

It is a cyclic number.

It is not a de Polignac number, because 106593233 - 28 = 106592977 is a prime.

It is a super-3 number, since 3×1065932333 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 106593233.

It is not a weakly prime, because it can be changed into another prime (106593433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53296616 + 53296617.

It is an arithmetic number, because the mean of its divisors is an integer number (53296617).

Almost surely, 2106593233 is an apocalyptic number.

It is an amenable number.

106593233 is a deficient number, since it is larger than the sum of its proper divisors (1).

106593233 is an equidigital number, since it uses as much as digits as its factorization.

106593233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14580, while the sum is 32.

The square root of 106593233 is about 10324.3998857076. The cubic root of 106593233 is about 474.1435840656.

The spelling of 106593233 in words is "one hundred six million, five hundred ninety-three thousand, two hundred thirty-three".