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105443010 = 23251768917
BaseRepresentation
bin1100100100011…
…10111011000010
321100102001121200
412102032323002
5203443134020
614244002030
72420152011
oct622167302
9240361550
10105443010
1154579992
122b390316
1318acb11a
141000aa78
1593cc590
hex648eec2

105443010 has 48 divisors (see below), whose sum is σ = 290282616. Its totient is φ = 26463744.

The previous prime is 105442999. The next prime is 105443011. The reversal of 105443010 is 10344501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 89927289 + 15515721 = 9483^2 + 3939^2 .

It is a super-2 number, since 2×1054430102 = 22236456715720200, which contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105443011) 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 23 ways as a sum of consecutive naturals, for example, 32929 + ... + 35988.

Almost surely, 2105443010 is an apocalyptic number.

105443010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105443010 is an abundant number, since it is smaller than the sum of its proper divisors (184839606).

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

105443010 is a wasteful number, since it uses less digits than its factorization.

105443010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68947 (or 68944 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 105443010 is about 10268.5446875397. The cubic root of 105443010 is about 472.4319545918.

Adding to 105443010 its reverse (10344501), we get a palindrome (115787511).

The spelling of 105443010 in words is "one hundred five million, four hundred forty-three thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 68917 137834 206751 344585 413502 620253 689170 1033755 1171589 1240506 2067510 2343178 3101265 3514767 5857945 6202530 7029534 10544301 11715890 17573835 21088602 35147670 52721505 105443010