107106777 has 12 divisors (see below), whose sum is σ = 154815024. Its totient is φ = 71355960.

The previous prime is 107106761. The next prime is 107106821. The reversal of 107106777 is 777601701.

It is not a de Polignac number, because 107106777 - 2⁴ = 107106761 is a prime.

It is a super-2 number, since 2×107106777² = 22943723358655458, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (107106707) 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, 14298 + ... + 20460.

It is an arithmetic number, because the mean of its divisors is an integer number (12901252).

Almost surely, 2^107106777 is an apocalyptic number.

It is an amenable number.

107106777 is a deficient number, since it is larger than the sum of its proper divisors (47708247).

107106777 is a wasteful number, since it uses less digits than its factorization.

107106777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8100 (or 8097 counting only the distinct ones).

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

The square root of 107106777 is about 10349.2404069091. The cubic root of 107106777 is about 474.9038061902.

The spelling of 107106777 in words is "one hundred seven million, one hundred six thousand, seven hundred seventy-seven".