78105 has 16 divisors (see below), whose sum is σ = 129024. Its totient is φ = 40320.

The previous prime is 78101. The next prime is 78121. The reversal of 78105 is 50187.

It is a happy number.

78105 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 78105 - 2² = 78101 is a prime.

It is a super-2 number, since 2×78105² = 12200782050, which contains 22 as substring.

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

It is a nialpdrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (78101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 552 + ... + 678.

It is an arithmetic number, because the mean of its divisors is an integer number (8064).

2⁷⁸¹⁰⁵ is an apocalyptic number.

It is an amenable number.

78105 is a deficient number, since it is larger than the sum of its proper divisors (50919).

78105 is a wasteful number, since it uses less digits than its factorization.

78105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176.

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

The square root of 78105 is about 279.4727178098. The cubic root of 78105 is about 42.7457504069.

The spelling of 78105 in words is "seventy-eight thousand, one hundred five".