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105454230 = 235717109271
BaseRepresentation
bin1100100100100…
…01101010010110
321100102122000020
412102101222112
5203444013410
614244130010
72420226510
oct622215226
9240378006
10105454230
1154587362
122b396906
1318b0326b
1410010bb0
1593d0a70
hex6491a96

105454230 has 128 divisors (see below), whose sum is σ = 310210560. Its totient is φ = 22394880.

The previous prime is 105454207. The next prime is 105454249. The reversal of 105454230 is 32454501.

It is a super-2 number, since 2×1054542302 = 22241189249785800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105454230.

It is a congruent number.

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, 388995 + ... + 389265.

It is an arithmetic number, because the mean of its divisors is an integer number (2423520).

Almost surely, 2105454230 is an apocalyptic number.

105454230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105454230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155105280).

105454230 is an abundant number, since it is smaller than the sum of its proper divisors (204756330).

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

105454230 is a wasteful number, since it uses less digits than its factorization.

105454230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414.

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

The square root of 105454230 is about 10269.0910016418. The cubic root of 105454230 is about 472.4487108742.

The spelling of 105454230 in words is "one hundred five million, four hundred fifty-four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 109 119 170 210 218 238 255 271 327 357 510 542 545 595 654 714 763 813 1090 1190 1355 1526 1626 1635 1785 1853 1897 2289 2710 3270 3570 3706 3794 3815 4065 4578 4607 5559 5691 7630 8130 9214 9265 9485 11118 11382 11445 12971 13821 18530 18970 22890 23035 25942 27642 27795 28455 29539 32249 38913 46070 55590 56910 59078 64498 64855 69105 77826 88617 96747 129710 138210 147695 161245 177234 193494 194565 206773 295390 322490 389130 413546 443085 483735 502163 620319 886170 967470 1004326 1033865 1240638 1506489 2067730 2510815 3012978 3101595 3515141 5021630 6203190 7030282 7532445 10545423 15064890 17575705 21090846 35151410 52727115 105454230