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106936126 = 21113073719
BaseRepresentation
bin1100101111110…
…11011100111110
321110012220210021
412113323130332
5204333424001
614340002354
72435641063
oct627733476
9243186707
10106936126
11553a9770
122b9903ba
131920191b
14102b8c6a
1595c4ba1
hex65fb73e

106936126 has 16 divisors (see below), whose sum is σ = 175167360. Its totient is φ = 48557080.

The previous prime is 106936099. The next prime is 106936129. The reversal of 106936126 is 621639601.

It is a super-2 number, since 2×1069361262 = 22870670087775752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106936091 and 106936100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106936129) 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 7 ways as a sum of consecutive naturals, for example, 26895 + ... + 30613.

It is an arithmetic number, because the mean of its divisors is an integer number (10947960).

Almost surely, 2106936126 is an apocalyptic number.

106936126 is a deficient number, since it is larger than the sum of its proper divisors (68231234).

106936126 is a wasteful number, since it uses less digits than its factorization.

106936126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5039.

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 106936126 is about 10340.9925055577. The cubic root of 106936126 is about 474.6514540014.

The spelling of 106936126 in words is "one hundred six million, nine hundred thirty-six thousand, one hundred twenty-six".

Divisors: 1 2 11 22 1307 2614 3719 7438 14377 28754 40909 81818 4860733 9721466 53468063 106936126