106776677 has 16 divisors (see below), whose sum is σ = 129796992. Its totient is φ = 85747200.

The previous prime is 106776673. The next prime is 106776689. The reversal of 106776677 is 776677601.

It is not a de Polignac number, because 106776677 - 2² = 106776673 is a prime.

It is a super-2 number, since 2×106776677² = 22802517502324658, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106776673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25802 + ... + 29652.

It is an arithmetic number, because the mean of its divisors is an integer number (8112312).

Almost surely, 2^106776677 is an apocalyptic number.

106776677 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

106776677 is a deficient number, since it is larger than the sum of its proper divisors (23020315).

106776677 is a wasteful number, since it uses less digits than its factorization.

106776677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4108.

The product of its (nonzero) digits is 518616, while the sum is 47.

The square root of 106776677 is about 10333.2800697552. The cubic root of 106776677 is about 474.4154241715.

The spelling of 106776677 in words is "one hundred six million, seven hundred seventy-six thousand, six hundred seventy-seven".