106777107 has 12 divisors (see below), whose sum is σ = 154405680. Its totient is φ = 71105328.

The previous prime is 106777103. The next prime is 106777123. The reversal of 106777107 is 701777601.

It is not a de Polignac number, because 106777107 - 2² = 106777103 is a prime.

It is a super-2 number, since 2×106777107² = 22802701158578898, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106777103) 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 11 ways as a sum of consecutive naturals, for example, 2569 + ... + 14837.

It is an arithmetic number, because the mean of its divisors is an integer number (12867140).

Almost surely, 2^106777107 is an apocalyptic number.

106777107 is a deficient number, since it is larger than the sum of its proper divisors (47628573).

106777107 is a wasteful number, since it uses less digits than its factorization.

106777107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13242 (or 13239 counting only the distinct ones).

The product of its (nonzero) digits is 14406, while the sum is 36.

The square root of 106777107 is about 10333.3008762931. The cubic root of 106777107 is about 474.4160610096.

The spelling of 106777107 in words is "one hundred six million, seven hundred seventy-seven thousand, one hundred seven".