105378 has 32 divisors (see below), whose sum is σ = 260736. Its totient is φ = 27648.

The previous prime is 105373. The next prime is 105379. The reversal of 105378 is 873501.

It is a super-2 number, since 2×105378² = 22209045768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105373) 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, 450 + ... + 642.

It is an arithmetic number, because the mean of its divisors is an integer number (8148).

105378 is a Friedman number, since it can be written as 5018*7*3, using all its digits and the basic arithmetic operations.

2¹⁰⁵³⁷⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130368).

105378 is an abundant number, since it is smaller than the sum of its proper divisors (155358).

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

105378 is a wasteful number, since it uses less digits than its factorization.

105378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 105378 is about 324.6197775860. The cubic root of 105378 is about 47.2334843317.

Adding to 105378 its reverse (873501), we get a palindrome (978879).

The spelling of 105378 in words is "one hundred five thousand, three hundred seventy-eight".