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106101000060 = 223511160759091
BaseRepresentation
bin110001011010000011…
…1001100011101111100
3101010212100202020221220
41202310013030131330
53214243324000220
6120424144353340
710444165422456
oct1426407143574
9333770666856
10106101000060
1140aa7280810
1218691015850
13a00b7ac253
1451c74412d6
152b5eb73540
hex18b41cc77c

106101000060 has 48 divisors (see below), whose sum is σ = 324090329472. Its totient is φ = 25721454400.

The previous prime is 106101000053. The next prime is 106101000073. The reversal of 106101000060 is 60000101601.

It is a super-2 number, since 2×1061010000602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 80378886 + ... + 80380205.

It is an arithmetic number, because the mean of its divisors is an integer number (6751881864).

Almost surely, 2106101000060 is an apocalyptic number.

106101000060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106101000060 is an abundant number, since it is smaller than the sum of its proper divisors (217989329412).

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

106101000060 is a wasteful number, since it uses less digits than its factorization.

106101000060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160759114 (or 160759112 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 106101000060 its reverse (60000101601), we get a palindrome (166101101661).

The spelling of 106101000060 in words is "one hundred six billion, one hundred one million, sixty", and thus it is an aban number.

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 160759091 321518182 482277273 643036364 803795455 964554546 1607590910 1768350001 1929109092 2411386365 3215181820 3536700002 4822772730 5305050003 7073400004 8841750005 9645545460 10610100006 17683500010 21220200012 26525250015 35367000020 53050500030 106101000060