105954 has 8 divisors (see below), whose sum is σ = 211920. Its totient is φ = 35316.

The previous prime is 105953. The next prime is 105967. The reversal of 105954 is 459501.

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

105954 is an admirable number.

It is a super-2 number, since 2×105954² = 22452500232, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105954.

It is not an unprimeable number, because it can be changed into a prime (105953) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8824 + ... + 8835.

It is an arithmetic number, because the mean of its divisors is an integer number (26490).

2¹⁰⁵⁹⁵⁴ is an apocalyptic number.

105954 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.

105954 is a wasteful number, since it uses less digits than its factorization.

105954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17664.

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 105954 is about 325.5057603177. The cubic root of 105954 is about 47.3193879878.

The spelling of 105954 in words is "one hundred five thousand, nine hundred fifty-four".