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106213336105 = 5234761332057
BaseRepresentation
bin110001011101011001…
…1101110010000101001
3101011011012010112001011
41202322303232100221
53220011103223410
6120443240223521
710450031314012
oct1427263562051
9334135115034
10106213336105
1141054728518
121870276aba1
13a028b51996
1451d8324009
152b6996318a
hex18bacee429

106213336105 has 32 divisors (see below), whose sum is σ = 136053126144. Its totient is φ = 79414765056.

The previous prime is 106213336063. The next prime is 106213336133. The reversal of 106213336105 is 501633312601.

It is a de Polignac number, because none of the positive numbers 2k-106213336105 is a prime.

It is a super-2 number, since 2×1062133361052 (a number of 23 digits) contains 22 as substring.

It is a Duffinian 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 31 ways as a sum of consecutive naturals, for example, 3297237 + ... + 3329293.

It is an arithmetic number, because the mean of its divisors is an integer number (4251660192).

Almost surely, 2106213336105 is an apocalyptic number.

It is an amenable number.

106213336105 is a deficient number, since it is larger than the sum of its proper divisors (29839790039).

106213336105 is a wasteful number, since it uses less digits than its factorization.

106213336105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32745.

The product of its (nonzero) digits is 9720, while the sum is 31.

Adding to 106213336105 its reverse (501633312601), we get a palindrome (607846648706).

The spelling of 106213336105 in words is "one hundred six billion, two hundred thirteen million, three hundred thirty-six thousand, one hundred five".

Divisors: 1 5 23 47 115 235 613 1081 3065 5405 14099 28811 32057 70495 144055 160285 662653 737311 1506679 3313265 3686555 7533395 19650941 34653617 98254705 173268085 451971643 923594227 2259858215 4617971135 21242667221 106213336105