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106632593 is a prime number
BaseRepresentation
bin1100101101100…
…01010110010001
321102122111102022
412112301112101
5204244220333
614325301225
72433235124
oct626612621
9242574368
10106632593
1155211711
122b864815
1319126712
141023a3bb
159564c98
hex65b1591

106632593 has 2 divisors, whose sum is σ = 106632594. Its totient is φ = 106632592.

The previous prime is 106632587. The next prime is 106632611. The reversal of 106632593 is 395236601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78996544 + 27636049 = 8888^2 + 5257^2 .

It is a cyclic number.

It is not a de Polignac number, because 106632593 - 222 = 102438289 is a prime.

It is a super-2 number, since 2×1066325932 = 22741019779807298, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106632523) 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 as a sum of consecutive naturals, namely, 53316296 + 53316297.

It is an arithmetic number, because the mean of its divisors is an integer number (53316297).

Almost surely, 2106632593 is an apocalyptic number.

It is an amenable number.

106632593 is a deficient number, since it is larger than the sum of its proper divisors (1).

106632593 is an equidigital number, since it uses as much as digits as its factorization.

106632593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29160, while the sum is 35.

The square root of 106632593 is about 10326.3058738350. The cubic root of 106632593 is about 474.2019367220.

The spelling of 106632593 in words is "one hundred six million, six hundred thirty-two thousand, five hundred ninety-three".