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106666584 = 23341108401
BaseRepresentation
bin1100101101110…
…01101001011000
321102201020001020
412112321221120
5204301312314
614330122440
72433436203
oct626715130
9242636036
10106666584
1155235202
122b880420
131913902b
141024893a
15956eda9
hex65b9a58

106666584 has 32 divisors (see below), whose sum is σ = 273173040. Its totient is φ = 34688000.

The previous prime is 106666583. The next prime is 106666591. The reversal of 106666584 is 485666601.

It is a super-2 number, since 2×1066665842 = 22755520284458112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106666583) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53217 + ... + 55184.

Almost surely, 2106666584 is an apocalyptic number.

It is an amenable number.

106666584 is an abundant number, since it is smaller than the sum of its proper divisors (166506456).

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

106666584 is a wasteful number, since it uses less digits than its factorization.

106666584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108451 (or 108447 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 106666584 is about 10327.9515878029. The cubic root of 106666584 is about 474.2523180834.

The spelling of 106666584 in words is "one hundred six million, six hundred sixty-six thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 108401 216802 325203 433604 650406 867208 1300812 2601624 4444441 8888882 13333323 17777764 26666646 35555528 53333292 106666584