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105531426 = 232711135857
BaseRepresentation
bin1100100101001…
…00100000100010
321100120112220100
412102210200202
5204004001201
614245523230
72421000540
oct622444042
9240515810
10105531426
115462a360
122b413516
1318b2c440
1410030d90
1593e8886
hex64a4822

105531426 has 96 divisors (see below), whose sum is σ = 307052928. Its totient is φ = 25297920.

The previous prime is 105531401. The next prime is 105531443. The reversal of 105531426 is 624135501.

105531426 is a `hidden beast` number, since 105 + 531 + 4 + 26 = 666.

It is a super-2 number, since 2×1055314262 = 22273763747186952, 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 105531426.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15090 + ... + 20946.

It is an arithmetic number, because the mean of its divisors is an integer number (3198468).

Almost surely, 2105531426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105531426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153526464).

105531426 is an abundant number, since it is smaller than the sum of its proper divisors (201521502).

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

105531426 is a wasteful number, since it uses less digits than its factorization.

105531426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5896 (or 5893 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 105531426 is about 10272.8489719259. The cubic root of 105531426 is about 472.5639654730.

Adding to 105531426 its reverse (624135501), we get a palindrome (729666927).

The spelling of 105531426 in words is "one hundred five million, five hundred thirty-one thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 126 143 154 182 198 231 234 273 286 429 462 546 693 819 858 1001 1287 1386 1638 2002 2574 3003 5857 6006 9009 11714 17571 18018 35142 40999 52713 64427 76141 81998 105426 122997 128854 152282 193281 228423 245994 368991 386562 450989 456846 532987 579843 685269 737982 837551 901978 1065974 1159686 1352967 1370538 1598961 1675102 2512653 2705934 3197922 4058901 4796883 5025306 5862857 7537959 8117802 9593766 11725714 15075918 17588571 35177142 52765713 105531426