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106101040305 = 35131732006347
BaseRepresentation
bin110001011010000011…
…1010110010010110001
3101010212100211022011110
41202310013112102301
53214243331242210
6120424145303533
710444165651011
oct1426407262261
9333770738143
10106101040305
1140aa72a8a77
1218691034ba9
13a00b7c4670
1451c7451c41
152b5eb80420
hex18b41d64b1

106101040305 has 32 divisors (see below), whose sum is σ = 193574392704. Its totient is φ = 49161747456.

The previous prime is 106101040289. The next prime is 106101040361. The reversal of 106101040305 is 503040101601.

It is not a de Polignac number, because 106101040305 - 24 = 106101040289 is a prime.

It is a super-2 number, since 2×1061010403052 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15999859 + ... + 16006488.

It is an arithmetic number, because the mean of its divisors is an integer number (6049199772).

Almost surely, 2106101040305 is an apocalyptic number.

106101040305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106101040305 is a deficient number, since it is larger than the sum of its proper divisors (87473352399).

106101040305 is a wasteful number, since it uses less digits than its factorization.

106101040305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32006385.

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 106101040305 its reverse (503040101601), we get a palindrome (609141141906).

The spelling of 106101040305 in words is "one hundred six billion, one hundred one million, forty thousand, three hundred five".

Divisors: 1 3 5 13 15 17 39 51 65 85 195 221 255 663 1105 3315 32006347 96019041 160031735 416082511 480095205 544107899 1248247533 1632323697 2080412555 2720539495 6241237665 7073402687 8161618485 21220208061 35367013435 106101040305