106352181 has 12 divisors (see below), whose sum is σ = 165436908. Its totient is φ = 65447424.

The previous prime is 106352159. The next prime is 106352209. The reversal of 106352181 is 181253601.

106352181 is a `hidden beast` number, since 1 + 0 + 63 + 521 + 81 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 70711281 + 35640900 = 8409^2 + 5970^2 .

It is not a de Polignac number, because 106352181 - 2¹⁵ = 106319413 is a prime.

It is a super-4 number, since 4×106352181⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106352111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 454380 + ... + 454613.

It is an arithmetic number, because the mean of its divisors is an integer number (13786409).

Almost surely, 2^106352181 is an apocalyptic number.

It is an amenable number.

106352181 is a deficient number, since it is larger than the sum of its proper divisors (59084727).

106352181 is a wasteful number, since it uses less digits than its factorization.

106352181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909012 (or 909009 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 106352181 is about 10312.7193794847. The cubic root of 106352181 is about 473.7859018144.

The spelling of 106352181 in words is "one hundred six million, three hundred fifty-two thousand, one hundred eighty-one".