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105045001425 = 325271323223061
BaseRepresentation
bin110000111010100101…
…0111000010011010001
3101001010202200222011100
41201311022320103101
53210113010021200
6120131302535013
710406053531320
oct1416512702321
9331122628140
10105045001425
114060518a371
1218437437469
139ba0a964a0
1451270b80b7
152aec0ced00
hex18752b84d1

105045001425 has 144 divisors (see below), whose sum is σ = 241635034368. Its totient is φ = 42399244800.

The previous prime is 105045001403. The next prime is 105045001429. The reversal of 105045001425 is 524100540501.

105045001425 is a `hidden beast` number, since 10 + 5 + 0 + 4 + 500 + 142 + 5 = 666.

It is not a de Polignac number, because 105045001425 - 27 = 105045001297 is a prime.

It is a super-2 number, since 2×1050450014252 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105045001429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 359395 + ... + 582455.

It is an arithmetic number, because the mean of its divisors is an integer number (1678021072).

Almost surely, 2105045001425 is an apocalyptic number.

105045001425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105045001425 is an abundant number, since it is smaller than the sum of its proper divisors (136590032943).

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

105045001425 is a wasteful number, since it uses less digits than its factorization.

105045001425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223120 (or 223112 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 105045001425 its reverse (524100540501), we get a palindrome (629145541926).

The spelling of 105045001425 in words is "one hundred five billion, forty-five million, one thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 13 15 21 23 25 35 39 45 63 65 69 75 91 105 115 117 161 175 195 207 225 273 299 315 325 345 455 483 525 575 585 805 819 897 975 1035 1365 1449 1495 1575 1725 2093 2275 2415 2691 2925 4025 4095 4485 5175 6279 6825 7245 7475 10465 12075 13455 18837 20475 22425 31395 36225 52325 67275 94185 156975 223061 470925 669183 1115305 1561427 2007549 2899793 3345915 4684281 5130403 5576525 7807135 8699379 10037745 14052843 14498965 15391209 16729575 20298551 23421405 25652015 26098137 35912821 39035675 43496895 46173627 50188725 60895653 66695239 70264215 72494825 76956045 101492755 107738463 117107025 128260075 130490685 179564105 182686959 200085717 217484475 230868135 304478265 323215389 333476195 351321075 384780225 466866673 507463775 538692315 600257151 652453425 897820525 913434795 1000428585 1154340675 1400600019 1522391325 1616076945 1667380975 2334333365 2693461575 3001285755 4201800057 4567173975 5002142925 7003000095 8080384725 11671666825 15006428775 21009000285 35015000475 105045001425