77105 has 8 divisors (see below), whose sum is σ = 105792. Its totient is φ = 52848.

The previous prime is 77101. The next prime is 77137. The reversal of 77105 is 50177.

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

It is a cyclic number.

It is not a de Polignac number, because 77105 - 2² = 77101 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (77101) 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, 1067 + ... + 1136.

It is an arithmetic number, because the mean of its divisors is an integer number (13224).

2⁷⁷¹⁰⁵ is an apocalyptic number.

It is an amenable number.

77105 is a deficient number, since it is larger than the sum of its proper divisors (28687).

77105 is a wasteful number, since it uses less digits than its factorization.

77105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2215.

The product of its (nonzero) digits is 245, while the sum is 20.

The square root of 77105 is about 277.6778709224. The cubic root of 77105 is about 42.5625376900.

The spelling of 77105 in words is "seventy-seven thousand, one hundred five".