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105860303080 = 23573203118037
BaseRepresentation
bin110001010010111000…
…1000000100011101000
3101010020120211120202221
41202211301000203220
53213300214144310
6120344225403424
710435213505140
oct1424561004350
9333216746687
10105860303080
1140993421594
1218624499574
139ca09760bc
1451a34a7920
152b4897aada
hex18a5c408e8

105860303080 has 64 divisors (see below), whose sum is σ = 272299501440. Its totient is φ = 36283322112.

The previous prime is 105860303053. The next prime is 105860303083. The reversal of 105860303080 is 80303068501.

It is a happy number.

105860303080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1058603030802 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105860303083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 837822 + ... + 955858.

It is an arithmetic number, because the mean of its divisors is an integer number (4254679710).

Almost surely, 2105860303080 is an apocalyptic number.

105860303080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105860303080 is an abundant number, since it is smaller than the sum of its proper divisors (166439198360).

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

105860303080 is a wasteful number, since it uses less digits than its factorization.

105860303080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121258 (or 121254 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 105860303080 in words is "one hundred five billion, eight hundred sixty million, three hundred three thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 3203 6406 12812 16015 22421 25624 32030 44842 64060 89684 112105 118037 128120 179368 224210 236074 448420 472148 590185 826259 896840 944296 1180370 1652518 2360740 3305036 4131295 4721480 6610072 8262590 16525180 33050360 378072511 756145022 1512290044 1890362555 2646507577 3024580088 3780725110 5293015154 7561450220 10586030308 13232537885 15122900440 21172060616 26465075770 52930151540 105860303080