Search a number
-
+
105660060 = 223511160091
BaseRepresentation
bin1100100110000…
…11111010011100
321100211002100120
412103003322130
5204022110220
614252354540
72422044552
oct623037234
9240732316
10105660060
1154707a70
122b475a50
1318b75b5c
1410065bd2
159421a40
hex64c3e9c

105660060 has 48 divisors (see below), whose sum is σ = 322745472. Its totient is φ = 25614400.

The previous prime is 105660053. The next prime is 105660097. The reversal of 105660060 is 60066501.

It is a super-2 number, since 2×1056600602 = 22328096558407200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105660060.

It is a congruent number.

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, 79386 + ... + 80705.

It is an arithmetic number, because the mean of its divisors is an integer number (6723864).

Almost surely, 2105660060 is an apocalyptic number.

105660060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105660060 is an abundant number, since it is smaller than the sum of its proper divisors (217085412).

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

105660060 is a wasteful number, since it uses less digits than its factorization.

105660060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160114 (or 160112 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 105660060 is about 10279.1079379487. The cubic root of 105660060 is about 472.7558928566.

It can be divided in two parts, 1056 and 60060, that added together give a palindrome (61116).

The spelling of 105660060 in words is "one hundred five million, six hundred sixty thousand, sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 160091 320182 480273 640364 800455 960546 1600910 1761001 1921092 2401365 3201820 3522002 4802730 5283003 7044004 8805005 9605460 10566006 17610010 21132012 26415015 35220020 52830030 105660060