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106560100060 = 225171401122369
BaseRepresentation
bin110001100111101111…
…0100001011011011100
3101012001100121221202121
41203033132201123130
53221213341200220
6120541504432324
710461441622441
oct1431736413334
9335040557677
10106560100060
11412124423a7
121879a9186a4
13a082943c5b
14522c3cb9c8
152b8a10ceaa
hex18cf7a16dc

106560100060 has 48 divisors (see below), whose sum is σ = 236967020640. Its totient is φ = 40112087040.

The previous prime is 106560100057. The next prime is 106560100063. The reversal of 106560100060 is 60001065601.

It is an interprime number because it is at equal distance from previous prime (106560100057) and next prime (106560100063).

It is a super-2 number, since 2×1065601000602 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106560099998 and 106560100034.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106560100063) 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, 4752556 + ... + 4774924.

It is an arithmetic number, because the mean of its divisors is an integer number (4936812930).

Almost surely, 2106560100060 is an apocalyptic number.

106560100060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106560100060 is an abundant number, since it is smaller than the sum of its proper divisors (130406920580).

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

106560100060 is a wasteful number, since it uses less digits than its factorization.

106560100060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36406 (or 36404 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 106560100060 its reverse (60001065601), we get a palindrome (166561165661).

The spelling of 106560100060 in words is "one hundred six billion, five hundred sixty million, one hundred thousand, sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 14011 22369 28022 44738 56044 70055 89476 111845 140110 223690 238187 280220 380273 447380 476374 760546 952748 1190935 1521092 1901365 2381870 3802730 4763740 7605460 313412059 626824118 1253648236 1567060295 3134120590 5328005003 6268241180 10656010006 21312020012 26640025015 53280050030 106560100060