105854 has 8 divisors (see below), whose sum is σ = 181488. Its totient is φ = 45360.

The previous prime is 105829. The next prime is 105863. The reversal of 105854 is 458501.

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

It is a super-2 number, since 2×105854² = 22410138632, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

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 105854.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3767 + ... + 3794.

It is an arithmetic number, because the mean of its divisors is an integer number (22686).

2¹⁰⁵⁸⁵⁴ is an apocalyptic number.

105854 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105854 is a deficient number, since it is larger than the sum of its proper divisors (75634).

105854 is an equidigital number, since it uses as much as digits as its factorization.

105854 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7570.

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 105854 is about 325.3521169441. The cubic root of 105854 is about 47.3044965309.

It can be divided in two parts, 105 and 854, that added together give a palindrome (959).

The spelling of 105854 in words is "one hundred five thousand, eight hundred fifty-four".