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105545221056 = 26321135274723
BaseRepresentation
bin110001001001011111…
…1000100001111000000
3101002102121221202111100
41202102333010033000
53212124034033211
6120253052214400
710424336401512
oct1422277041700
9332377852440
10105545221056
1140841586820
1218556a6a400
139c505c7532
1451736c9bb2
152b2ae8d156
hex1892fc43c0

105545221056 has 168 divisors, whose sum is σ = 330192180864. Its totient is φ = 31967562240.

The previous prime is 105545221051. The next prime is 105545221087. The reversal of 105545221056 is 650122545501.

105545221056 is a `hidden beast` number, since 1 + 0 + 5 + 545 + 2 + 2 + 105 + 6 = 666.

It is a super-2 number, since 2×1055452210562 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 105545221056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105545221051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22344711 + ... + 22349433.

It is an arithmetic number, because the mean of its divisors is an integer number (1965429648).

Almost surely, 2105545221056 is an apocalyptic number.

105545221056 is a gapful number since it is divisible by the number (16) 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 105545221056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165096090432).

105545221056 is an abundant number, since it is smaller than the sum of its proper divisors (224646959808).

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

105545221056 is a wasteful number, since it uses less digits than its factorization.

105545221056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8279 (or 8266 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

Adding to 105545221056 its reverse (650122545501), we get a palindrome (755667766557).

The spelling of 105545221056 in words is "one hundred five billion, five hundred forty-five million, two hundred twenty-one thousand, fifty-six".