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105430010420 = 2257753071503
BaseRepresentation
bin110001000110000011…
…1100100101000110100
3101002010121011110012202
41202030013210220310
53211410040313140
6120233415004032
710421440205450
oct1421407445064
9332117143182
10105430010420
1140792546319
1218524369618
139c32789567
145162299660
152b20cd1915
hex188c1e4a34

105430010420 has 24 divisors (see below), whose sum is σ = 253032025344. Its totient is φ = 36147432096.

The previous prime is 105430010419. The next prime is 105430010471. The reversal of 105430010420 is 24010034501.

It is a super-2 number, since 2×1054300104202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 105430010392 and 105430010401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 376535612 + ... + 376535891.

It is an arithmetic number, because the mean of its divisors is an integer number (10543001056).

Almost surely, 2105430010420 is an apocalyptic number.

105430010420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105430010420 is an abundant number, since it is smaller than the sum of its proper divisors (147602014924).

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

105430010420 is a wasteful number, since it uses less digits than its factorization.

105430010420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753071519 (or 753071517 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 105430010420 its reverse (24010034501), we get a palindrome (129440044921).

The spelling of 105430010420 in words is "one hundred five billion, four hundred thirty million, ten thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 753071503 1506143006 3012286012 3765357515 5271500521 7530715030 10543001042 15061430060 21086002084 26357502605 52715005210 105430010420