106855677 has 48 divisors (see below), whose sum is σ = 171849600. Its totient is φ = 63676800.

The previous prime is 106855663. The next prime is 106855681. The reversal of 106855677 is 776558601.

106855677 is a `hidden beast` number, since 1 + 0 + 6 + 85 + 567 + 7 = 666.

It is not a de Polignac number, because 106855677 - 2¹¹ = 106853629 is a prime.

It is a super-2 number, since 2×106855677² = 22836271414256658, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106855627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 397099 + ... + 397367.

It is an arithmetic number, because the mean of its divisors is an integer number (3580200).

Almost surely, 2^106855677 is an apocalyptic number.

It is an amenable number.

106855677 is a deficient number, since it is larger than the sum of its proper divisors (64993923).

106855677 is a wasteful number, since it uses less digits than its factorization.

106855677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 106855677 is about 10337.1019633164. The cubic root of 106855677 is about 474.5323959682.

The spelling of 106855677 in words is "one hundred six million, eight hundred fifty-five thousand, six hundred seventy-seven".