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106005576 = 2336736563
BaseRepresentation
bin1100101000110…
…00010001001000
321101110122022110
412110120101020
5204114134301
614304022320
72425014105
oct624302110
9241418273
10106005576
1154923616
122b6019a0
1318c671c1
1410115aac
15948e0d6
hex6518448

106005576 has 32 divisors (see below), whose sum is σ = 265448160. Its totient is φ = 35277312.

The previous prime is 106005521. The next prime is 106005589. The reversal of 106005576 is 675500601.

It is a super-2 number, since 2×1060055762 = 22474364286183552, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12871 + ... + 19433.

It is an arithmetic number, because the mean of its divisors is an integer number (8295255).

Almost surely, 2106005576 is an apocalyptic number.

It is an amenable number.

106005576 is an abundant number, since it is smaller than the sum of its proper divisors (159442584).

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

106005576 is a wasteful number, since it uses less digits than its factorization.

106005576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7245 (or 7241 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 106005576 is about 10295.9009319243. The cubic root of 106005576 is about 473.2706474327.

The spelling of 106005576 in words is "one hundred six million, five thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 24 673 1346 2019 2692 4038 5384 6563 8076 13126 16152 19689 26252 39378 52504 78756 157512 4416899 8833798 13250697 17667596 26501394 35335192 53002788 106005576