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105464300410 = 2574136747143
BaseRepresentation
bin110001000111000101…
…0011000001101111010
3101002012222200120020101
41202032022120031322
53211442330103120
6120241041550014
710422334522330
oct1421612301572
9332188616211
10105464300410
11407aa936957
121853394530a
139c399040b1
145166a63b50
152b23d0690a
hex188e29837a

105464300410 has 32 divisors (see below), whose sum is σ = 222246726912. Its totient is φ = 35277256320.

The previous prime is 105464300311. The next prime is 105464300429. The reversal of 105464300410 is 14003464501.

It is a super-2 number, since 2×1054643004102 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18370702 + ... + 18376441.

It is an arithmetic number, because the mean of its divisors is an integer number (6945210216).

Almost surely, 2105464300410 is an apocalyptic number.

105464300410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105464300410 is an abundant number, since it is smaller than the sum of its proper divisors (116782426502).

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

105464300410 is a wasteful number, since it uses less digits than its factorization.

105464300410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36747198.

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 105464300410 its reverse (14003464501), we get a palindrome (119467764911).

The spelling of 105464300410 in words is "one hundred five billion, four hundred sixty-four million, three hundred thousand, four hundred ten".

Divisors: 1 2 5 7 10 14 35 41 70 82 205 287 410 574 1435 2870 36747143 73494286 183735715 257230001 367471430 514460002 1286150005 1506632863 2572300010 3013265726 7533164315 10546430041 15066328630 21092860082 52732150205 105464300410