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106674 = 2323773
BaseRepresentation
bin11010000010110010
312102022220
4122002302
511403144
62141510
7623001
oct320262
9172286
10106674
1173167
1251896
1339729
142ac38
1521919
hex1a0b2

106674 has 16 divisors (see below), whose sum is σ = 222912. Its totient is φ = 33968.

The previous prime is 106669. The next prime is 106681. The reversal of 106674 is 476601.

It is a super-2 number, since 2×1066742 = 22758684552, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

106674 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 249 + ... + 524.

It is an arithmetic number, because the mean of its divisors is an integer number (13932).

2106674 is an apocalyptic number.

106674 is an abundant number, since it is smaller than the sum of its proper divisors (116238).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106674 is a wasteful number, since it uses less digits than its factorization.

106674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 106674 is about 326.6098590061. The cubic root of 106674 is about 47.4263308635.

It can be divided in two parts, 106 and 674, that added together give a triangular number (780 = T39).

The spelling of 106674 in words is "one hundred six thousand, six hundred seventy-four".

Divisors: 1 2 3 6 23 46 69 138 773 1546 2319 4638 17779 35558 53337 106674