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105054240522 = 237112927728307
BaseRepresentation
bin110000111010110111…
…0000111111100001010
3101001011102002100211010
41201311232013330022
53210122341144042
6120132232544350
710406225211420
oct1416556077412
9331142070733
10105054240522
114060a41a890
121843a5520b6
139ba297c8ca
145128401110
152aecd0759c
hex1875b87f0a

105054240522 has 128 divisors (see below), whose sum is σ = 271974205440. Its totient is φ = 26249852160.

The previous prime is 105054240481. The next prime is 105054240581. The reversal of 105054240522 is 225042450501.

It is a super-2 number, since 2×1050542405222 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105054240522.

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, 3697093 + ... + 3725399.

It is an arithmetic number, because the mean of its divisors is an integer number (2124798480).

Almost surely, 2105054240522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105054240522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135987102720).

105054240522 is an abundant number, since it is smaller than the sum of its proper divisors (166919964918).

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

105054240522 is a wasteful number, since it uses less digits than its factorization.

105054240522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28636.

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 105054240522 in words is "one hundred five billion, fifty-four million, two hundred forty thousand, five hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 29 33 42 58 66 77 87 154 174 203 231 277 319 406 462 554 609 638 831 957 1218 1662 1914 1939 2233 3047 3878 4466 5817 6094 6699 8033 9141 11634 13398 16066 18282 21329 24099 28307 42658 48198 56231 56614 63987 84921 88363 112462 127974 168693 169842 176726 198149 265089 311377 337386 396298 530178 594447 618541 622754 820903 934131 1188894 1237082 1641806 1855623 1868262 2179639 2462709 3711246 4359278 4925418 5746321 6538917 7841039 9029933 11492642 13077834 15682078 17238963 18059866 23523117 27089799 34477926 47046234 54179598 54887273 63209531 86251429 109774546 126419062 164661819 172502858 189628593 227390131 258754287 329323638 379257186 454780262 517508574 603760003 682170393 1207520006 1364340786 1591730917 1811280009 2501291441 3183461834 3622560018 4775192751 5002582882 7503874323 9550385502 15007748646 17509040087 35018080174 52527120261 105054240522