106777 has 8 divisors (see below), whose sum is σ = 123552. Its totient is φ = 91200.

The previous prime is 106759. The next prime is 106781. The reversal of 106777 is 777601.

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 106777 - 2⁷ = 106649 is a prime.

It is a super-2 number, since 2×106777² = 22802655458, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106727) 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 7 ways as a sum of consecutive naturals, for example, 99 + ... + 472.

It is an arithmetic number, because the mean of its divisors is an integer number (15444).

2¹⁰⁶⁷⁷⁷ is an apocalyptic number.

106777 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

106777 is a deficient number, since it is larger than the sum of its proper divisors (16775).

106777 is a wasteful number, since it uses less digits than its factorization.

106777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599.

The product of its (nonzero) digits is 2058, while the sum is 28.

The square root of 106777 is about 326.7675014441. The cubic root of 106777 is about 47.4415902541.

The spelling of 106777 in words is "one hundred six thousand, seven hundred seventy-seven".