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106593664 = 27832763
BaseRepresentation
bin1100101101001…
…11110110000000
321102120112000111
412112213312000
5204241444124
614324401104
72433013462
oct626476600
9242515014
10106593664
1155195441
122b846194
1319111a98
141022a132
159558494
hex65a7d80

106593664 has 16 divisors (see below), whose sum is σ = 212354820. Its totient is φ = 53296768.

The previous prime is 106593623. The next prime is 106593701. The reversal of 106593664 is 466395601.

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×1065936642 = 22724418409889792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 416254 + ... + 416509.

Almost surely, 2106593664 is an apocalyptic number.

It is an amenable number.

106593664 is a deficient number, since it is larger than the sum of its proper divisors (105761156).

106593664 is an frugal number, since it uses more digits than its factorization.

106593664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832777 (or 832765 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The square root of 106593664 is about 10324.4207585704. The cubic root of 106593664 is about 474.1442231168.

The spelling of 106593664 in words is "one hundred six million, five hundred ninety-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 832763 1665526 3331052 6662104 13324208 26648416 53296832 106593664