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105425034 = 2311131929223
BaseRepresentation
bin1100100100010…
…10100010001010
321100101010221220
412102022202022
5203442100114
614243342510
72420045421
oct622124212
9240333856
10105425034
1154567430
122b381a36
1318ac2ba0
14100042b8
1593c70a9
hex648a88a

105425034 has 128 divisors (see below), whose sum is σ = 270950400. Its totient is φ = 26853120.

The previous prime is 105425027. The next prime is 105425057. The reversal of 105425034 is 430524501.

It is a super-2 number, since 2×1054250342 = 22228875587802312, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105424995 and 105425013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 472647 + ... + 472869.

It is an arithmetic number, because the mean of its divisors is an integer number (2116800).

Almost surely, 2105425034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105425034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135475200).

105425034 is an abundant number, since it is smaller than the sum of its proper divisors (165525366).

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

105425034 is a wasteful number, since it uses less digits than its factorization.

105425034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300.

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 105425034 is about 10267.6693557983. The cubic root of 105425034 is about 472.4051062199.

Adding to 105425034 its reverse (430524501), we get a palindrome (535949535).

It can be divided in two parts, 10542 and 5034, that added together give a triangular number (15576 = T176).

The spelling of 105425034 in words is "one hundred five million, four hundred twenty-five thousand, thirty-four".

Divisors: 1 2 3 6 11 13 19 22 26 29 33 38 39 57 58 66 78 87 114 143 174 209 223 247 286 319 377 418 429 446 494 551 627 638 669 741 754 858 957 1102 1131 1254 1338 1482 1653 1914 2262 2453 2717 2899 3306 4147 4237 4906 5434 5798 6061 6467 7163 7359 8151 8294 8474 8697 12122 12441 12711 12934 14326 14718 16302 17394 18183 19401 21489 24882 25422 31889 36366 38802 42978 46607 55081 63778 71137 78793 84071 93214 95667 110162 122873 139821 142274 157586 165243 168142 191334 213411 236379 245746 252213 279642 330486 368619 426822 472758 504426 605891 737238 924781 1211782 1351603 1597349 1817673 1849562 2703206 2774343 3194698 3635346 4054809 4792047 5548686 8109618 9584094 17570839 35141678 52712517 105425034