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106661009 = 7131768947
BaseRepresentation
bin1100101101110…
…00010010010001
321102200221101202
412112320102101
5204301123014
614330040545
72433414020
oct626702221
9242627352
10106661009
1155230aa4
122b879155
1319136630
14102468b7
15956d3de
hex65b8491

106661009 has 16 divisors (see below), whose sum is σ = 138999168. Its totient is φ = 79425792.

The previous prime is 106660997. The next prime is 106661017. The reversal of 106661009 is 900166601.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106661009 is a prime.

It is a super-2 number, since 2×1066610092 = 22753141681796162, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106661089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32927 + ... + 36020.

It is an arithmetic number, because the mean of its divisors is an integer number (8687448).

Almost surely, 2106661009 is an apocalyptic number.

It is an amenable number.

106661009 is a deficient number, since it is larger than the sum of its proper divisors (32338159).

106661009 is a wasteful number, since it uses less digits than its factorization.

106661009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68984.

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 106661009 is about 10327.6816856447. The cubic root of 106661009 is about 474.2440555685.

The spelling of 106661009 in words is "one hundred six million, six hundred sixty-one thousand, nine".

Divisors: 1 7 13 17 91 119 221 1547 68947 482629 896311 1172099 6274177 8204693 15237287 106661009