106077 has 8 divisors (see below), whose sum is σ = 148960. Its totient is φ = 66960.

The previous prime is 106033. The next prime is 106087. The reversal of 106077 is 770601.

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

It is not a de Polignac number, because 106077 - 2⁶ = 106013 is a prime.

It is a super-2 number, since 2×106077² = 22504659858, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 874 + ... + 987.

It is an arithmetic number, because the mean of its divisors is an integer number (18620).

2¹⁰⁶⁰⁷⁷ is an apocalyptic number.

It is an amenable number.

106077 is a deficient number, since it is larger than the sum of its proper divisors (42883).

106077 is a wasteful number, since it uses less digits than its factorization.

106077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883.

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

The square root of 106077 is about 325.6946422648. The cubic root of 106077 is about 47.3376916351.

Adding to 106077 its reverse (770601), we get a palindrome (876678).

The spelling of 106077 in words is "one hundred six thousand, seventy-seven".