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106060000 = 25545303
BaseRepresentation
bin1100101001001…
…01100011100000
321101120101222011
412110211203200
5204122410000
614305122304
72425331554
oct624454340
9241511864
10106060000
11549604a2
122b629394
1318c85bc7
141012b864
1594a02ba
hex65258e0

106060000 has 60 divisors (see below), whose sum is σ = 260972712. Its totient is φ = 42416000.

The previous prime is 106059997. The next prime is 106060007. The reversal of 106060000 is 60601.

It is a super-2 number, since 2×1060600002 = 22497447200000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106060007) 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 9 ways as a sum of consecutive naturals, for example, 17349 + ... + 22651.

Almost surely, 2106060000 is an apocalyptic number.

106060000 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 106060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130486356).

106060000 is an abundant number, since it is smaller than the sum of its proper divisors (154912712).

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

106060000 is an frugal number, since it uses more digits than its factorization.

106060000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5333 (or 5310 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 106060000 is about 10298.5435863524. The cubic root of 106060000 is about 473.3516270564.

The spelling of 106060000 in words is "one hundred six million, sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 5303 10000 10606 20000 21212 26515 42424 53030 84848 106060 132575 169696 212120 265150 424240 530300 662875 848480 1060600 1325750 2121200 2651500 3314375 4242400 5303000 6628750 10606000 13257500 21212000 26515000 53030000 106060000