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105942 = 2317657
BaseRepresentation
bin11001110111010110
312101022210
4121313112
511342232
62134250
7620604
oct316726
9171283
10105942
1172661
1251386
13392b5
142a874
15215cc
hex19dd6

105942 has 8 divisors (see below), whose sum is σ = 211896. Its totient is φ = 35312.

The previous prime is 105929. The next prime is 105943. The reversal of 105942 is 249501.

It is a sphenic number, since it is the product of 3 distinct primes.

105942 is an admirable number.

It is a super-2 number, since 2×1059422 = 22447414728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105943) by changing a digit.

105942 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 (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8823 + ... + 8834.

It is an arithmetic number, because the mean of its divisors is an integer number (26487).

2105942 is an apocalyptic number.

105942 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

105942 is a wasteful number, since it uses less digits than its factorization.

105942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17662.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 105942 is about 325.4873269422. The cubic root of 105942 is about 47.3176015078.

The spelling of 105942 in words is "one hundred five thousand, nine hundred forty-two".

Divisors: 1 2 3 6 17657 35314 52971 105942