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106566506060 = 2257821927149
BaseRepresentation
bin110001100111111011…
…0111101011001001100
3101012001210200102010212
41203033312331121030
53221222011143220
6120542254021552
710461550233020
oct1431766753114
9335053612125
10106566506060
1141216018313
12187a0aa78b8
13a0840779a1
14522d1b8380
152b8a9760c5
hex18cfdbd64c

106566506060 has 48 divisors (see below), whose sum is σ = 256071412800. Its totient is φ = 36492545280.

The previous prime is 106566506009. The next prime is 106566506129. The reversal of 106566506060 is 60605665601.

It is a super-2 number, since 2×1065665060602 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106566505999 and 106566506017.

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, 348635 + ... + 578514.

It is an arithmetic number, because the mean of its divisors is an integer number (5334821100).

Almost surely, 2106566506060 is an apocalyptic number.

106566506060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106566506060 is an abundant number, since it is smaller than the sum of its proper divisors (149504906740).

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

106566506060 is a wasteful number, since it uses less digits than its factorization.

106566506060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927986 (or 927984 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 41.

The spelling of 106566506060 in words is "one hundred six billion, five hundred sixty-six million, five hundred six thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 821 1642 3284 4105 5747 8210 11494 16420 22988 28735 57470 114940 927149 1854298 3708596 4635745 6490043 9271490 12980086 18542980 25960172 32450215 64900430 129800860 761189329 1522378658 3044757316 3805946645 5328325303 7611893290 10656650606 15223786580 21313301212 26641626515 53283253030 106566506060