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106060050 = 23352251313
BaseRepresentation
bin1100101001001…
…01100100010010
321101120102001000
412110211210102
5204122410200
614305122430
72425331655
oct624454422
9241512030
10106060050
1154960538
122b629416
1318c85c35
141012b89c
1594a0300
hex6525912

106060050 has 96 divisors (see below), whose sum is σ = 294356160. Its totient is φ = 28080000.

The previous prime is 106060043. The next prime is 106060069. The reversal of 106060050 is 50060601.

106060050 is a `hidden beast` number, since 1 + 0 + 60 + 600 + 5 + 0 = 666.

It is a super-2 number, since 2×1060600502 = 22497468412005000, which contains 22 as substring.

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

It is an unprimeable number.

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, 338694 + ... + 339006.

It is an arithmetic number, because the mean of its divisors is an integer number (3066210).

Almost surely, 2106060050 is an apocalyptic number.

106060050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106060050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147178080).

106060050 is an abundant number, since it is smaller than the sum of its proper divisors (188296110).

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

106060050 is a wasteful number, since it uses less digits than its factorization.

106060050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 574 counting only the distinct ones).

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

The square root of 106060050 is about 10298.5460138798. The cubic root of 106060050 is about 473.3517014407.

The spelling of 106060050 in words is "one hundred six million, sixty thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 251 270 313 450 502 626 675 753 939 1255 1350 1506 1565 1878 2259 2510 2817 3130 3765 4518 4695 5634 6275 6777 7530 7825 8451 9390 11295 12550 13554 14085 15650 16902 18825 22590 23475 28170 33885 37650 42255 46950 56475 67770 70425 78563 84510 112950 140850 157126 169425 211275 235689 338850 392815 422550 471378 707067 785630 1178445 1414134 1964075 2121201 2356890 3535335 3928150 4242402 5892225 7070670 10606005 11784450 17676675 21212010 35353350 53030025 106060050