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105143444 = 22729314177
BaseRepresentation
bin1100100010001…
…01110010010100
321022211211200122
412101011302110
5203404042234
614233331112
72414463440
oct621056224
9238754618
10105143444
115439490a
122b266a98
1318a24973
14dd6d820
15936d92e
hex6445c94

105143444 has 48 divisors (see below), whose sum is σ = 224609280. Its totient is φ = 42094080.

The previous prime is 105143417. The next prime is 105143447. The reversal of 105143444 is 444341501.

It is a happy number.

It is a super-2 number, since 2×1051434442 = 22110287632362272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105143447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23084 + ... + 27260.

It is an arithmetic number, because the mean of its divisors is an integer number (4679360).

Almost surely, 2105143444 is an apocalyptic number.

105143444 is a gapful number since it is divisible by the number (14) 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 105143444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112304640).

105143444 is an abundant number, since it is smaller than the sum of its proper divisors (119465836).

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

105143444 is a wasteful number, since it uses less digits than its factorization.

105143444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4248 (or 4246 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 105143444 is about 10253.9477275828. The cubic root of 105143444 is about 471.9841335756.

Adding to 105143444 its reverse (444341501), we get a palindrome (549484945).

The spelling of 105143444 in words is "one hundred five million, one hundred forty-three thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 29 31 58 62 116 124 203 217 406 434 812 868 899 1798 3596 4177 6293 8354 12586 16708 25172 29239 58478 116956 121133 129487 242266 258974 484532 517948 847931 906409 1695862 1812818 3391724 3625636 3755123 7510246 15020492 26285861 52571722 105143444