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104530105240 = 235111743324991
BaseRepresentation
bin110000101011001111…
…0101101001110011000
3100222210212211112101021
41201112132231032120
53203034201331430
6120004230532224
710360232143261
oct1412636551630
9328725745337
10104530105240
1140370579230
1218312b07074
139b1b1c70a2
1450b8965968
152abbcc307a
hex18567ad398

104530105240 has 128 divisors (see below), whose sum is σ = 277985157120. Its totient is φ = 34942924800.

The previous prime is 104530105171. The next prime is 104530105307. The reversal of 104530105240 is 42501035401.

It is a happy number.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 159145 + ... + 484135.

It is an arithmetic number, because the mean of its divisors is an integer number (2171759040).

Almost surely, 2104530105240 is an apocalyptic number.

104530105240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104530105240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138992578560).

104530105240 is an abundant number, since it is smaller than the sum of its proper divisors (173455051880).

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

104530105240 is a wasteful number, since it uses less digits than its factorization.

104530105240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325073 (or 325069 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 104530105240 in words is "one hundred four billion, five hundred thirty million, one hundred five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 43 44 55 68 85 86 88 110 136 170 172 187 215 220 340 344 374 430 440 473 680 731 748 860 935 946 1462 1496 1720 1870 1892 2365 2924 3655 3740 3784 4730 5848 7310 7480 8041 9460 14620 16082 18920 29240 32164 40205 64328 80410 160820 321640 324991 649982 1299964 1624955 2599928 3249910 3574901 5524847 6499820 7149802 11049694 12999640 13974613 14299604 17874505 22099388 27624235 27949226 28599208 35749010 44198776 55248470 55898452 60773317 69873065 71498020 110496940 111796904 121546634 139746130 142996040 153720743 220993880 237568421 243093268 279492260 303866585 307441486 475136842 486186536 558984520 607733170 614882972 768603715 950273684 1187842105 1215466340 1229765944 1537207430 1900547368 2375684210 2430932680 2613252631 3074414860 4751368420 5226505262 6148829720 9502736840 10453010524 13066263155 20906021048 26132526310 52265052620 104530105240