105915 has 16 divisors (see below), whose sum is σ = 177408. Its totient is φ = 53856.
The previous prime is 105913. The next prime is 105929. The reversal of 105915 is 519501.
It is a happy number.
It is not a de Polignac number, because 105915 - 21 = 105913 is a prime.
It is a super-2 number, since 2×1059152 = 22435974450, which contains 22 as substring.
It is an Ulam number.
105915 is a lucky number.
It is a junction number, because it is equal to n+sod(n) for n = 105891 and 105900.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105915.
It is not an unprimeable number, because it can be changed into a prime (105913) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192 + ... + 498.
It is an arithmetic number, because the mean of its divisors is an integer number (11088).
2105915 is an apocalyptic number.
105915 is a gapful number since it is divisible by the number (15) formed by its first and last digit.
105915 is a deficient number, since it is larger than the sum of its proper divisors (71493).
105915 is a wasteful number, since it uses less digits than its factorization.
105915 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 338.
The product of its (nonzero) digits is 225, while the sum is 21.
The square root of 105915 is about 325.4458480301. The cubic root of 105915 is about 47.3135814346.
The spelling of 105915 in words is "one hundred five thousand, nine hundred fifteen".
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