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106671 = 331237
BaseRepresentation
bin11010000010101111
312102022210
4122002233
511403141
62141503
7622665
oct320257
9172283
10106671
1173164
1251893
1339726
142ac35
1521916
hex1a0af

106671 has 12 divisors (see below), whose sum is σ = 150936. Its totient is φ = 66960.

The previous prime is 106669. The next prime is 106681. The reversal of 106671 is 176601.

It is not a de Polignac number, because 106671 - 21 = 106669 is a prime.

It is a super-2 number, since 2×1066712 = 22757404482, which contains 22 as substring.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

106671 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106621) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2865 + ... + 2901.

It is an arithmetic number, because the mean of its divisors is an integer number (12578).

2106671 is an apocalyptic number.

106671 is a deficient number, since it is larger than the sum of its proper divisors (44265).

106671 is an equidigital number, since it uses as much as digits as its factorization.

106671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 106671 is about 326.6052663384. The cubic root of 106671 is about 47.4258862680.

It can be divided in two parts, 106 and 671, that added together give a palindrome (777).

The spelling of 106671 in words is "one hundred six thousand, six hundred seventy-one".

Divisors: 1 3 31 37 93 111 961 1147 2883 3441 35557 106671