106856181 has 12 divisors (see below), whose sum is σ = 154551852. Its totient is φ = 71143296.

The previous prime is 106856177. The next prime is 106856219. The reversal of 106856181 is 181658601.

106856181 is a `hidden beast` number, since 10 + 6 + 8 + 561 + 81 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 79388100 + 27468081 = 8910^2 + 5241^2 .

It is not a de Polignac number, because 106856181 - 2² = 106856177 is a prime.

It is a super-2 number, since 2×106856181² = 22836486835809522, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106856131) 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 11 ways as a sum of consecutive naturals, for example, 276 + ... + 14621.

It is an arithmetic number, because the mean of its divisors is an integer number (12879321).

Almost surely, 2^106856181 is an apocalyptic number.

It is an amenable number.

106856181 is a deficient number, since it is larger than the sum of its proper divisors (47695671).

106856181 is a wasteful number, since it uses less digits than its factorization.

106856181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15700 (or 15697 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 106856181 is about 10337.1263414936. The cubic root of 106856181 is about 474.5331420335.

The spelling of 106856181 in words is "one hundred six million, eight hundred fifty-six thousand, one hundred eighty-one".