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105445060 = 2257319809
BaseRepresentation
bin1100100100011…
…11011011000100
321100102011102121
412102033123010
5203443220220
614244015324
72420161000
oct622173304
9240364377
10105445060
1154580486
122b391544
1318acc036
141000b700
1593cceaa
hex648f6c4

105445060 has 96 divisors (see below), whose sum is σ = 272160000. Its totient is φ = 34207488.

The previous prime is 105445049. The next prime is 105445061. The reversal of 105445060 is 60544501.

It is a super-2 number, since 2×1054450602 = 22237321356807200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105445061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129936 + ... + 130744.

It is an arithmetic number, because the mean of its divisors is an integer number (2835000).

Almost surely, 2105445060 is an apocalyptic number.

105445060 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 105445060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136080000).

105445060 is an abundant number, since it is smaller than the sum of its proper divisors (166714940).

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

105445060 is a wasteful number, since it uses less digits than its factorization.

105445060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 105445060 is about 10268.6445064575. The cubic root of 105445060 is about 472.4350162117.

Adding to 105445060 its reverse (60544501), we get a palindrome (165989561).

The spelling of 105445060 in words is "one hundred five million, four hundred forty-five thousand, sixty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 245 266 343 380 490 532 665 686 809 931 980 1330 1372 1618 1715 1862 2660 3236 3430 3724 4045 4655 5663 6517 6860 8090 9310 11326 13034 15371 16180 18620 22652 26068 28315 30742 32585 39641 56630 61484 65170 76855 79282 107597 113260 130340 153710 158564 198205 215194 277487 307420 396410 430388 537985 554974 753179 792820 1075970 1109948 1387435 1506358 2151940 2774870 3012716 3765895 5272253 5549740 7531790 10544506 15063580 21089012 26361265 52722530 105445060