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105044310 = 2335755579
BaseRepresentation
bin1100100001011…
…01100101010110
321022122210201000
412100231211112
5203342404220
614231244130
72413601430
oct620554526
9238583630
10105044310
1154327388
122b219646
13189bb7c7
14dd45650
15934e390
hex642d956

105044310 has 64 divisors (see below), whose sum is σ = 320140800. Its totient is φ = 24009696.

The previous prime is 105044279. The next prime is 105044311. The reversal of 105044310 is 13440501.

It is a happy number.

It is a super-2 number, since 2×1050443102 = 22068614126752200, 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105044311) 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, 25900 + ... + 29679.

It is an arithmetic number, because the mean of its divisors is an integer number (5002200).

Almost surely, 2105044310 is an apocalyptic number.

105044310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105044310 is an abundant number, since it is smaller than the sum of its proper divisors (215096490).

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

105044310 is a wasteful number, since it uses less digits than its factorization.

105044310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55602 (or 55596 counting only the distinct ones).

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

The square root of 105044310 is about 10249.1126445171. The cubic root of 105044310 is about 471.8357509275.

Adding to 105044310 its reverse (13440501), we get a palindrome (118484811).

The spelling of 105044310 in words is "one hundred five million, forty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 55579 111158 166737 277895 333474 389053 500211 555790 778106 833685 1000422 1167159 1500633 1667370 1945265 2334318 2501055 3001266 3501477 3890530 5002110 5835795 7002954 7503165 10504431 11671590 15006330 17507385 21008862 35014770 52522155 105044310