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105060550528 = 2717107491919
BaseRepresentation
bin110000111011000011…
…0001100011110000000
3101001011211221221112001
41201312012030132000
53210131000104103
6120133020113344
710406332642063
oct1416606143600
9331154857461
10105060550528
1140612a3a66a
1218440695854
139ba407ba3b
1451291a48da
152aed65201d
hex187618c780

105060550528 has 128 divisors (see below), whose sum is σ = 224382700800. Its totient is φ = 48825262080.

The previous prime is 105060550453. The next prime is 105060550537. The reversal of 105060550528 is 825055060501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1050605505282 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114320053 + ... + 114320971.

It is an arithmetic number, because the mean of its divisors is an integer number (1752989850).

Almost surely, 2105060550528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105060550528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112191350400).

105060550528 is an abundant number, since it is smaller than the sum of its proper divisors (119322150272).

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

105060550528 is a wasteful number, since it uses less digits than its factorization.

105060550528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 37.

The spelling of 105060550528 in words is "one hundred five billion, sixty million, five hundred fifty thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 107 128 136 214 272 428 491 544 856 919 982 1088 1712 1819 1838 1964 2176 3424 3638 3676 3928 6848 7276 7352 7856 8347 13696 14552 14704 15623 15712 16694 29104 29408 31246 31424 33388 52537 58208 58816 62492 62848 66776 98333 105074 116416 117632 124984 133552 196666 210148 232832 249968 267104 393332 420296 451229 499936 534208 786664 840592 893129 902458 999872 1068416 1573328 1671661 1681184 1786258 1804916 1999744 3146656 3343322 3362368 3572516 3609832 6293312 6686644 6724736 7145032 7219664 7670893 12586624 13373288 14290064 14439328 15341786 26746576 28580128 28878656 30683572 48281503 53493152 57160256 57757312 61367144 96563006 106986304 114320512 122734288 193126012 213972608 245468576 386252024 490937152 772504048 820785551 981874304 1545008096 1641571102 3090016192 3283142204 6180032384 6566284408 13132568816 26265137632 52530275264 105060550528