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105273685380 = 22353747420579
BaseRepresentation
bin110001000001011001…
…1001111010110000100
3101001201201000022120110
41202002303033112010
53211100030413010
6120210112233020
710414531363353
oct1420263172604
9331651008513
10105273685380
1140712283a76
121849bb3b770
139c09284736
14514960599a
152b12203120
hex1882ccf584

105273685380 has 48 divisors (see below), whose sum is σ = 302732982720. Its totient is φ = 27314252928.

The previous prime is 105273685379. The next prime is 105273685441. The reversal of 105273685380 is 83586372501.

It is a super-2 number, since 2×1052736853802 (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, 23708070 + ... + 23712509.

It is an arithmetic number, because the mean of its divisors is an integer number (6306937140).

Almost surely, 2105273685380 is an apocalyptic number.

105273685380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105273685380 is an abundant number, since it is smaller than the sum of its proper divisors (197459297340).

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

105273685380 is a wasteful number, since it uses less digits than its factorization.

105273685380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47420628 (or 47420626 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

It can be divided in two parts, 105273 and 685380, that added together give a triangular number (790653 = T1257).

The spelling of 105273685380 in words is "one hundred five billion, two hundred seventy-three million, six hundred eighty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 47420579 94841158 142261737 189682316 237102895 284523474 474205790 569046948 711308685 948411580 1422617370 1754561423 2845234740 3509122846 5263684269 7018245692 8772807115 10527368538 17545614230 21054737076 26318421345 35091228460 52636842690 105273685380