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106596189 = 3377512
BaseRepresentation
bin1100101101010…
…00011101011101
321102120122111000
412112220131131
5204242034224
614324420513
72433024030
oct626503535
9242518430
10106596189
1155197327
122b847739
1319112c8b
141022b017
1595590c9
hex65a875d

106596189 has 24 divisors (see below), whose sum is σ = 180720960. Its totient is φ = 60831000.

The previous prime is 106596179. The next prime is 106596209. The reversal of 106596189 is 981695601.

It is not a de Polignac number, because 106596189 - 25 = 106596157 is a prime.

It is a super-2 number, since 2×1065961892 = 22725495018647442, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106596169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141564 + ... + 142314.

It is an arithmetic number, because the mean of its divisors is an integer number (7530040).

Almost surely, 2106596189 is an apocalyptic number.

It is an amenable number.

106596189 is a deficient number, since it is larger than the sum of its proper divisors (74124771).

106596189 is an frugal number, since it uses more digits than its factorization.

106596189 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 106596189 is about 10324.5430407355. The cubic root of 106596189 is about 474.1479669438.

The spelling of 106596189 in words is "one hundred six million, five hundred ninety-six thousand, one hundred eighty-nine".

Divisors: 1 3 7 9 21 27 63 189 751 2253 5257 6759 15771 20277 47313 141939 564001 1692003 3948007 5076009 11844021 15228027 35532063 106596189