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105308424 = 233713463
BaseRepresentation
bin1100100011011…
…10000100001000
321100011020000000
412101232010020
5203424332144
614241043000
72416051434
oct621560410
9240136000
10105308424
1154497861
122b326460
1318a81aa0
14ddb39c4
1593a2769
hex646e108

105308424 has 128 divisors (see below), whose sum is σ = 319603200. Its totient is φ = 32332608.

The previous prime is 105308417. The next prime is 105308447. The reversal of 105308424 is 424803501.

It is a super-2 number, since 2×1053084242 = 22179728330727552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227217 + ... + 227679.

It is an arithmetic number, because the mean of its divisors is an integer number (2496900).

Almost surely, 2105308424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105308424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159801600).

105308424 is an abundant number, since it is smaller than the sum of its proper divisors (214294776).

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

105308424 is an equidigital number, since it uses as much as digits as its factorization.

105308424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 105308424 is about 10261.9892808363. The cubic root of 105308424 is about 472.2308671410.

The spelling of 105308424 in words is "one hundred five million, three hundred eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 463 468 486 648 702 729 926 936 972 1053 1389 1404 1458 1852 1944 2106 2187 2778 2808 2916 3159 3704 4167 4212 4374 5556 5832 6019 6318 8334 8424 8748 9477 11112 12038 12501 12636 16668 17496 18057 18954 24076 25002 25272 28431 33336 36114 37503 37908 48152 50004 54171 56862 72228 75006 75816 100008 108342 112509 113724 144456 150012 162513 216684 225018 227448 300024 325026 337527 433368 450036 487539 650052 675054 900072 975078 1012581 1300104 1350108 1462617 1950156 2025162 2700216 2925234 3900312 4050324 4387851 5850468 8100648 8775702 11700936 13163553 17551404 26327106 35102808 52654212 105308424