105878 has 8 divisors (see below), whose sum is σ = 160272. Its totient is φ = 52456.

The previous prime is 105871. The next prime is 105883. The reversal of 105878 is 878501.

It is a happy number.

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

It is a super-2 number, since 2×105878² = 22420301768, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 105878.

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 105878.

It is not an unprimeable number, because it can be changed into a prime (105871) by changing a digit.

105878 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 3 ways as a sum of consecutive naturals, for example, 176 + ... + 492.

It is an arithmetic number, because the mean of its divisors is an integer number (20034).

2¹⁰⁵⁸⁷⁸ is an apocalyptic number.

105878 is a deficient number, since it is larger than the sum of its proper divisors (54394).

105878 is a wasteful number, since it uses less digits than its factorization.

105878 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486.

The product of its (nonzero) digits is 2240, while the sum is 29.

The square root of 105878 is about 325.3889979701. The cubic root of 105878 is about 47.3080713356.

The spelling of 105878 in words is "one hundred five thousand, eight hundred seventy-eight".