77106 has 16 divisors (see below), whose sum is σ = 157248. Its totient is φ = 25200.

The previous prime is 77101. The next prime is 77137. The reversal of 77106 is 60177.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (77101) by changing a digit.

77106 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 7 ways as a sum of consecutive naturals, for example, 336 + ... + 516.

It is an arithmetic number, because the mean of its divisors is an integer number (9828).

2⁷⁷¹⁰⁶ is an apocalyptic number.

77106 is an abundant number, since it is smaller than the sum of its proper divisors (80142).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78624).

77106 is a wasteful number, since it uses less digits than its factorization.

77106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257.

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 77106 is about 277.6796715642. The cubic root of 77106 is about 42.5627216917.

The spelling of 77106 in words is "seventy-seven thousand, one hundred six".