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105045502460860 = 225131737976259139
BaseRepresentation
bin10111111000100111001111…
…110111000000001110111100
3111202221020210200100011111001
4113320213033313000032330
5102232031142112221420
61011225123154540044
731061200322346223
oct2770471767001674
9452836720304431
10105045502460860
113051a602676a95
12b946632297624
13467c996255560
141bd232d85dcba
15c2271bad1b0a
hex5f89cfdc03bc

105045502460860 has 96 divisors (see below), whose sum is σ = 251605110012480. Its totient is φ = 36494880534528.

The previous prime is 105045502460761. The next prime is 105045502460891. The reversal of 105045502460860 is 68064205540501.

It is a super-2 number, since 2×1050455024608602 (a number of 29 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 105045502460860.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13653171 + ... + 19912309.

It is an arithmetic number, because the mean of its divisors is an integer number (2620886562630).

Almost surely, 2105045502460860 is an apocalyptic number.

105045502460860 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 105045502460860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125802555006240).

105045502460860 is an abundant number, since it is smaller than the sum of its proper divisors (146559607551620).

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

105045502460860 is a wasteful number, since it uses less digits than its factorization.

105045502460860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6262975 (or 6262973 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 46.

The spelling of 105045502460860 in words is "one hundred five trillion, forty-five billion, five hundred two million, four hundred sixty thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 3797 4420 7594 15188 18985 37970 49361 64549 75940 98722 129098 197444 246805 258196 322745 493610 645490 839137 987220 1290980 1678274 3356548 4195685 6259139 8391370 12518278 16782740 25036556 31295695 62591390 81368807 106405363 125182780 162737614 212810726 325475228 406844035 425621452 532026815 813688070 1064053630 1383269719 1627376140 2128107260 2766539438 5533078876 6916348595 13832697190 23765950783 27665394380 47531901566 95063803132 118829753915 237659507830 308957360179 404021163311 475319015660 617914720358 808042326622 1235829440716 1544786800895 1616084653244 2020105816555 3089573601790 4040211633110 5252275123043 6179147203580 8080423266220 10504550246086 21009100492172 26261375615215 52522751230430 105045502460860