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105525250545 = 351113198812939
BaseRepresentation
bin110001001000111001…
…0111000100111110001
3101002101020101011002210
41202101302320213301
53212103431004140
6120251100202333
710424004554451
oct1422162704761
9332336334083
10105525250545
1140831286670
12185502393a9
139c49424670
145170babd61
152b29345d80
hex1891cb89f1

105525250545 has 128 divisors (see below), whose sum is σ = 209105971200. Its totient is φ = 44676403200.

The previous prime is 105525250541. The next prime is 105525250591. The reversal of 105525250545 is 545052525501.

It is not a de Polignac number, because 105525250545 - 22 = 105525250541 is a prime.

It is a super-2 number, since 2×1055252505452 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105525250541) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35903686 + ... + 35906624.

It is an arithmetic number, because the mean of its divisors is an integer number (1633640400).

Almost surely, 2105525250545 is an apocalyptic number.

105525250545 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105525250545 is a deficient number, since it is larger than the sum of its proper divisors (103580720655).

105525250545 is a wasteful number, since it uses less digits than its factorization.

105525250545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3871.

The product of its (nonzero) digits is 250000, while the sum is 39.

The spelling of 105525250545 in words is "one hundred five billion, five hundred twenty-five million, two hundred fifty thousand, five hundred forty-five".

Divisors: 1 3 5 11 13 15 19 33 39 55 57 65 95 143 165 195 209 247 285 429 627 715 741 881 1045 1235 2145 2643 2717 2939 3135 3705 4405 8151 8817 9691 11453 13215 13585 14695 16739 29073 32329 34359 38207 40755 44085 48455 50217 55841 57265 83695 96987 114621 125983 145365 161645 167523 171795 184129 191035 217607 251085 279205 377949 420277 484935 552387 573105 614251 629915 652821 725933 837615 920645 1088035 1260831 1842753 1889745 2101385 2177799 2393677 2589259 2761935 3071255 3264105 3629665 6304155 7181031 7767777 7985263 9213765 10888995 11968385 12946295 23955789 28481849 33660367 35905155 38838885 39926315 49195921 85445547 100981101 119778945 142409245 147587763 168301835 245979605 370264037 427227735 504905505 541155131 639546973 737938815 1110792111 1623465393 1851320185 1918640919 2705775655 3197734865 5553960555 7035016703 8117326965 9593204595 21105050109 35175083515 105525250545