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106449 = 3737137
BaseRepresentation
bin11001111111010001
312102000120
4121333101
511401244
62140453
7622230
oct317721
9172016
10106449
1172a82
1251729
13395b5
142ab17
1521819
hex19fd1

106449 has 16 divisors (see below), whose sum is σ = 167808. Its totient is φ = 58752.

The previous prime is 106441. The next prime is 106451. The reversal of 106449 is 944601.

It is not a de Polignac number, because 106449 - 23 = 106441 is a prime.

It is a super-2 number, since 2×1064492 = 22662779202, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106441) 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 15 ways as a sum of consecutive naturals, for example, 709 + ... + 845.

It is an arithmetic number, because the mean of its divisors is an integer number (10488).

2106449 is an apocalyptic number.

It is an amenable number.

106449 is a deficient number, since it is larger than the sum of its proper divisors (61359).

106449 is a wasteful number, since it uses less digits than its factorization.

106449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 106449 is about 326.2652295296. The cubic root of 106449 is about 47.3929630459.

It can be divided in two parts, 106 and 449, that added together give a palindrome (555).

The spelling of 106449 in words is "one hundred six thousand, four hundred forty-nine".

Divisors: 1 3 7 21 37 111 137 259 411 777 959 2877 5069 15207 35483 106449