106006061 has 12 divisors (see below), whose sum is σ = 123539292. Its totient is φ = 90695808.

The previous prime is 106006037. The next prime is 106006093. The reversal of 106006061 is 160600601.

It can be written as a sum of positive squares in 2 ways, for example, as 64802500 + 41203561 = 8050^2 + 6419^2 .

It is not a de Polignac number, because 106006061 - 2¹⁴ = 105989677 is a prime.

It is a super-2 number, since 2×106006061² = 22474569937471442, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106006661) 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, 30341 + ... + 33653.

It is an arithmetic number, because the mean of its divisors is an integer number (10294941).

Almost surely, 2^106006061 is an apocalyptic number.

It is an amenable number.

106006061 is a deficient number, since it is larger than the sum of its proper divisors (17533231).

106006061 is an equidigital number, since it uses as much as digits as its factorization.

106006061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3980 (or 3973 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 106006061 is about 10295.9244849601. The cubic root of 106006061 is about 473.2713692057.

Adding to 106006061 its reverse (160600601), we get a palindrome (266606662).

It can be divided in two parts, 10600 and 6061, that added together give a palindrome (16661).

The spelling of 106006061 in words is "one hundred six million, six thousand, sixty-one".