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106914 = 23103173
BaseRepresentation
bin11010000110100010
312102122210
4122012202
511410124
62142550
7623463
oct320642
9172583
10106914
1173365
1251a56
1339882
142ad6a
1521a29
hex1a1a2

106914 has 16 divisors (see below), whose sum is σ = 217152. Its totient is φ = 35088.

The previous prime is 106907. The next prime is 106921. The reversal of 106914 is 419601.

It is an interprime number because it is at equal distance from previous prime (106907) and next prime (106921).

It is a super-2 number, since 2×1069142 = 22861206792, which contains 22 as substring.

It is an unprimeable number.

106914 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, 532 + ... + 704.

It is an arithmetic number, because the mean of its divisors is an integer number (13572).

2106914 is an apocalyptic number.

106914 is an abundant number, since it is smaller than the sum of its proper divisors (110238).

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

106914 is a wasteful number, since it uses less digits than its factorization.

106914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 106914 is about 326.9770634158. The cubic root of 106914 is about 47.4618715260.

The spelling of 106914 in words is "one hundred six thousand, nine hundred fourteen".

Divisors: 1 2 3 6 103 173 206 309 346 519 618 1038 17819 35638 53457 106914