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106000560 = 243252337173
BaseRepresentation
bin1100101000101…
…11000010110000
321101110101102200
412110113002300
5204114004220
614303543200
72424663351
oct624270260
9241411380
10106000560
115491a876
122b5bab00
1318c64b33
1410113d28
15948c890
hex65170b0

106000560 has 240 divisors, whose sum is σ = 383707584. Its totient is φ = 26155008.

The previous prime is 106000553. The next prime is 106000561. The reversal of 106000560 is 65000601.

106000560 is a `hidden beast` number, since 1 + 0 + 600 + 0 + 5 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1060005602 = 22472237440627200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (106000561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 612634 + ... + 612806.

Almost surely, 2106000560 is an apocalyptic number.

106000560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106000560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191853792).

106000560 is an abundant number, since it is smaller than the sum of its proper divisors (277707024).

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

106000560 is a wasteful number, since it uses less digits than its factorization.

106000560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 106000560 is about 10295.6573369552. The cubic root of 106000560 is about 473.2631825328.

The spelling of 106000560 in words is "one hundred six million, five hundred sixty", and thus it is an aban number.