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106600116660 = 22352517739157
BaseRepresentation
bin110001101000111011…
…1001011000110110100
3101012011010221000012220
41203101313023012310
53221304112213120
6120545454242340
710462436020062
oct1432167130664
9335133830186
10106600116660
1141232a94474
12187b01b63b0
13a08b01520b
145233847032
152b8d8b4b40
hex18d1dcb1b4

106600116660 has 96 divisors (see below), whose sum is σ = 300089930112. Its totient is φ = 28273728000.

The previous prime is 106600116659. The next prime is 106600116661. The reversal of 106600116660 is 66611006601.

It is an interprime number because it is at equal distance from previous prime (106600116659) and next prime (106600116661).

It is a super-2 number, since 2×1066001166602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106600116661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11636802 + ... + 11645958.

It is an arithmetic number, because the mean of its divisors is an integer number (3125936772).

Almost surely, 2106600116660 is an apocalyptic number.

106600116660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106600116660 is an abundant number, since it is smaller than the sum of its proper divisors (193489813452).

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

106600116660 is a wasteful number, since it uses less digits than its factorization.

106600116660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10193 (or 10191 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 106600116660 in words is "one hundred six billion, six hundred million, one hundred sixteen thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 251 502 753 773 1004 1255 1506 1546 2319 2510 3012 3092 3765 3865 4638 5020 7530 7730 9157 9276 11595 15060 15460 18314 23190 27471 36628 45785 46380 54942 91570 109884 137355 183140 194023 274710 388046 549420 582069 776092 970115 1164138 1940230 2298407 2328276 2910345 3880460 4596814 5820690 6895221 7078361 9193628 11492035 11641380 13790442 14156722 21235083 22984070 27580884 28313444 34476105 35391805 42470166 45968140 68952210 70783610 84940332 106175415 137904420 141567220 212350830 424701660 1776668611 3553337222 5330005833 7106674444 8883343055 10660011666 17766686110 21320023332 26650029165 35533372220 53300058330 106600116660