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105661060650 = 23252298096633
BaseRepresentation
bin110001001100111100…
…0111101011000101010
3101002201200221000112200
41202121320331120222
53212343212420100
6120312351121030
710430244124335
oct1423170753052
9332650830480
10105661060650
11408a0a06822
1218589813176
139c6b5c5882
145184c4161c
152b36220e00
hex1899e3d62a

105661060650 has 72 divisors (see below), whose sum is σ = 293664915180. Its totient is φ = 27204683520.

The previous prime is 105661060627. The next prime is 105661060693. The reversal of 105661060650 is 56060166501.

It can be written as a sum of positive squares in 6 ways, for example, as 23387890761 + 82273169889 = 152931^2 + 286833^2 .

It is a super-2 number, since 2×1056610606502 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4035267 + ... + 4061366.

Almost surely, 2105661060650 is an apocalyptic number.

105661060650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105661060650 is an abundant number, since it is smaller than the sum of its proper divisors (188003854530).

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

105661060650 is a wasteful number, since it uses less digits than its factorization.

105661060650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8096680 (or 8096672 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 105661060650 in words is "one hundred five billion, six hundred sixty-one million, sixty thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 29 30 45 50 58 75 87 90 145 150 174 225 261 290 435 450 522 725 870 1305 1450 2175 2610 4350 6525 13050 8096633 16193266 24289899 40483165 48579798 72869697 80966330 121449495 145739394 202415825 234802357 242898990 364348485 404831650 469604714 607247475 704407071 728696970 1174011785 1214494950 1408814142 1821742425 2113221213 2348023570 3522035355 3643484850 4226442426 5870058925 7044070710 10566106065 11740117850 17610176775 21132212130 35220353550 52830530325 105661060650