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104510120 = 23511313151
BaseRepresentation
bin1100011101010…
…11001010101000
321021122122221012
412032223022220
5203223310440
614212003052
72406215141
oct616531250
9237578835
10104510120
1153aa2000
122b000488
1318862610
14dc46ac8
159295e65
hex63ab2a8

104510120 has 128 divisors (see below), whose sum is σ = 280385280. Its totient is φ = 34848000.

The previous prime is 104510111. The next prime is 104510143. The reversal of 104510120 is 21015401.

It is a junction number, because it is equal to n+sod(n) for n = 104510095 and 104510104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 692045 + ... + 692195.

It is an arithmetic number, because the mean of its divisors is an integer number (2190510).

Almost surely, 2104510120 is an apocalyptic number.

104510120 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 104510120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140192640).

104510120 is an abundant number, since it is smaller than the sum of its proper divisors (175875160).

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

104510120 is a wasteful number, since it uses less digits than its factorization.

104510120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 104510120 is about 10223.0191235271. The cubic root of 104510120 is about 471.0345702722.

Adding to 104510120 its reverse (21015401), we get a palindrome (125525521).

The spelling of 104510120 in words is "one hundred four million, five hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 121 130 143 151 220 242 260 286 302 440 484 520 572 604 605 715 755 968 1144 1208 1210 1331 1430 1510 1573 1661 1963 2420 2662 2860 3020 3146 3322 3926 4840 5324 5720 6040 6292 6644 6655 7852 7865 8305 9815 10648 12584 13288 13310 15704 15730 16610 17303 18271 19630 21593 26620 31460 33220 34606 36542 39260 43186 53240 62920 66440 69212 73084 78520 86372 86515 91355 107965 138424 146168 172744 173030 182710 200981 215930 237523 346060 365420 401962 431860 475046 692120 730840 803924 863720 950092 1004905 1187615 1607848 1900184 2009810 2375230 2612753 4019620 4750460 5225506 8039240 9500920 10451012 13063765 20902024 26127530 52255060 104510120