106680177 has 24 divisors (see below), whose sum is σ = 158910336. Its totient is φ = 68927136.

The previous prime is 106680169. The next prime is 106680181. The reversal of 106680177 is 771086601.

It is a happy number.

It is not a de Polignac number, because 106680177 - 2³ = 106680169 is a prime.

It is a super-2 number, since 2×106680177² = 22761320329502658, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106680157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44083 + ... + 46439.

It is an arithmetic number, because the mean of its divisors is an integer number (6621264).

Almost surely, 2^106680177 is an apocalyptic number.

It is an amenable number.

106680177 is a deficient number, since it is larger than the sum of its proper divisors (52230159).

106680177 is a wasteful number, since it uses less digits than its factorization.

106680177 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517 (or 2514 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 106680177 is about 10328.6096353769. The cubic root of 106680177 is about 474.2724625926.

The spelling of 106680177 in words is "one hundred six million, six hundred eighty thousand, one hundred seventy-seven".