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105484281360 = 24352771586707
BaseRepresentation
bin110001000111101011…
…0100110011000010000
3101002021101021200221120
41202033112212120100
53212012434000420
6120243034122240
710422666411663
oct1421726463020
9332241250846
10105484281360
1140810143937
121853a580380
139c40aab943
1451695856da
152b25951d40
hex188f5a6610

105484281360 has 80 divisors (see below), whose sum is σ = 328181989056. Its totient is φ = 28027574784.

The previous prime is 105484281349. The next prime is 105484281401. The reversal of 105484281360 is 63182484501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1054842813602 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 726874 + ... + 859833.

Almost surely, 2105484281360 is an apocalyptic number.

105484281360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105484281360 is an abundant number, since it is smaller than the sum of its proper divisors (222697707696).

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

105484281360 is a wasteful number, since it uses less digits than its factorization.

105484281360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587000 (or 1586994 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 105484281360 in words is "one hundred five billion, four hundred eighty-four million, two hundred eighty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 277 554 831 1108 1385 1662 2216 2770 3324 4155 4432 5540 6648 8310 11080 13296 16620 22160 33240 66480 1586707 3173414 4760121 6346828 7933535 9520242 12693656 15867070 19040484 23800605 25387312 31734140 38080968 47601210 63468280 76161936 95202420 126936560 190404840 380809680 439517839 879035678 1318553517 1758071356 2197589195 2637107034 3516142712 4395178390 5274214068 6592767585 7032285424 8790356780 10548428136 13185535170 17580713560 21096856272 26371070340 35161427120 52742140680 105484281360