105078 has 16 divisors (see below), whose sum is σ = 213696. Its totient is φ = 34440.

The previous prime is 105071. The next prime is 105097. The reversal of 105078 is 870501.

It is a happy number.

It is a super-2 number, since 2×105078² = 22082772168, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 393 + ... + 603.

It is an arithmetic number, because the mean of its divisors is an integer number (13356).

2¹⁰⁵⁰⁷⁸ is an apocalyptic number.

105078 is an abundant number, since it is smaller than the sum of its proper divisors (108618).

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

105078 is a wasteful number, since it uses less digits than its factorization.

105078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299.

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 105078 is about 324.1573691897. The cubic root of 105078 is about 47.1886188206.

Adding to 105078 its reverse (870501), we get a palindrome (975579).

It can be divided in two parts, 1050 and 78, that added together give a triangular number (1128 = T₄₇).

The spelling of 105078 in words is "one hundred five thousand, seventy-eight".