106006579 has 8 divisors (see below), whose sum is σ = 121308768. Its totient is φ = 90744000.

The previous prime is 106006559. The next prime is 106006583. The reversal of 106006579 is 975600601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106006579 - 2¹⁹ = 105482291 is a prime.

It is a super-3 number, since 3×106006579³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (106006559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3922 + ... + 15079.

It is an arithmetic number, because the mean of its divisors is an integer number (15163596).

Almost surely, 2^106006579 is an apocalyptic number.

106006579 is a deficient number, since it is larger than the sum of its proper divisors (15302189).

106006579 is an equidigital number, since it uses as much as digits as its factorization.

106006579 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19805.

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 106006579 is about 10295.9496405140. The cubic root of 106006579 is about 473.2721400867.

The spelling of 106006579 in words is "one hundred six million, six thousand, five hundred seventy-nine".