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105918 = 23127139
BaseRepresentation
bin11001110110111110
312101021220
4121312332
511342133
62134210
7620541
oct316676
9171256
10105918
117263a
1251366
1339297
142a858
15215b3
hex19dbe

105918 has 16 divisors (see below), whose sum is σ = 215040. Its totient is φ = 34776.

The previous prime is 105913. The next prime is 105929. The reversal of 105918 is 819501.

It is a super-2 number, since 2×1059182 = 22437245448, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105918.

It is not an unprimeable number, because it can be changed into a prime (105913) by changing a digit.

105918 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 693 + ... + 831.

It is an arithmetic number, because the mean of its divisors is an integer number (13440).

2105918 is an apocalyptic number.

105918 is an abundant number, since it is smaller than the sum of its proper divisors (109122).

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

105918 is a wasteful number, since it uses less digits than its factorization.

105918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271.

The product of its (nonzero) digits is 360, while the sum is 24.

The square root of 105918 is about 325.4504570591. The cubic root of 105918 is about 47.3140281431.

The spelling of 105918 in words is "one hundred five thousand, nine hundred eighteen".

Divisors: 1 2 3 6 127 139 254 278 381 417 762 834 17653 35306 52959 105918