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105082446 = 23723181601
BaseRepresentation
bin1100100001101…
…10111001001110
321022201202000110
412100312321032
5203400114241
614232140450
72414120550
oct620667116
9238652013
10105082446
1154352aa7
122b237726
1318a02c81
14dd554d0
15935a816
hex6436e4e

105082446 has 64 divisors (see below), whose sum is σ = 252435456. Its totient is φ = 28512000.

The previous prime is 105082433. The next prime is 105082447. The reversal of 105082446 is 644280501.

It is a super-2 number, since 2×1050824462 = 22084640914685832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105082447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174546 + ... + 175146.

It is an arithmetic number, because the mean of its divisors is an integer number (3944304).

Almost surely, 2105082446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105082446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126217728).

105082446 is an abundant number, since it is smaller than the sum of its proper divisors (147353010).

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

105082446 is a wasteful number, since it uses less digits than its factorization.

105082446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817.

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 105082446 is about 10250.9729294346. The cubic root of 105082446 is about 471.8928435046.

The spelling of 105082446 in words is "one hundred five million, eighty-two thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 181 322 362 483 543 601 966 1086 1202 1267 1803 2534 3606 3801 4163 4207 7602 8326 8414 12489 12621 13823 24978 25242 27646 29141 41469 58282 82938 87423 96761 108781 174846 193522 217562 290283 326343 580566 652686 761467 1522934 2284401 2501963 4568802 5003926 7505889 15011778 17513741 35027482 52541223 105082446