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106206112 = 2510930449
BaseRepresentation
bin1100101010010…
…01001110100000
321101211211101201
412111021032200
5204142043422
614312210544
72426510545
oct625111640
9241754351
10106206112
1154a50251
122b699a54
131900756c
1410168bcc
1594cd727
hex65493a0

106206112 has 24 divisors (see below), whose sum is σ = 211018500. Its totient is φ = 52614144.

The previous prime is 106206109. The next prime is 106206119. The reversal of 106206112 is 211602601.

It can be written as a sum of positive squares in 2 ways, for example, as 104775696 + 1430416 = 10236^2 + 1196^2 .

It is a super-2 number, since 2×1062061122 = 22559476452313088, 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 106206112.

It is not an unprimeable number, because it can be changed into a prime (106206119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11737 + ... + 18712.

Almost surely, 2106206112 is an apocalyptic number.

It is an amenable number.

106206112 is a deficient number, since it is larger than the sum of its proper divisors (104812388).

106206112 is a wasteful number, since it uses less digits than its factorization.

106206112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30568 (or 30560 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 106206112 is about 10305.6349634557. The cubic root of 106206112 is about 473.5688959515.

Adding to 106206112 its reverse (211602601), we get a palindrome (317808713).

The spelling of 106206112 in words is "one hundred six million, two hundred six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 109 218 436 872 1744 3488 30449 60898 121796 243592 487184 974368 3318941 6637882 13275764 26551528 53103056 106206112