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106066566 = 2327338039
BaseRepresentation
bin1100101001001…
…11001010000110
321101120201222100
412110213022012
5204123112231
614305212530
72425356654
oct624471206
9241521870
10106066566
1154965421
122b631146
1318c88ba8
141012ddd4
1594a21e6
hex6527286

106066566 has 24 divisors (see below), whose sum is σ = 230153040. Its totient is φ = 35302896.

The previous prime is 106066559. The next prime is 106066567. The reversal of 106066566 is 665660601.

It is a super-2 number, since 2×1060665662 = 22500232846064712, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106066566.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106066567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9175 + ... + 17213.

It is an arithmetic number, because the mean of its divisors is an integer number (9589710).

Almost surely, 2106066566 is an apocalyptic number.

106066566 is an abundant number, since it is smaller than the sum of its proper divisors (124086474).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106066566 is a wasteful number, since it uses less digits than its factorization.

106066566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8780 (or 8777 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 106066566 is about 10298.8623643585. The cubic root of 106066566 is about 473.3613949948.

The spelling of 106066566 in words is "one hundred six million, sixty-six thousand, five hundred sixty-six".

Divisors: 1 2 3 6 9 18 733 1466 2199 4398 6597 8039 13194 16078 24117 48234 72351 144702 5892587 11785174 17677761 35355522 53033283 106066566