106008015 has 16 divisors (see below), whose sum is σ = 171658368. Its totient is φ = 55855776.

The previous prime is 106007981. The next prime is 106008037. The reversal of 106008015 is 510800601.

It is not a de Polignac number, because 106008015 - 2⁷ = 106007887 is a prime.

It is a super-2 number, since 2×106008015² = 22475398488480450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106007982 and 106008000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41329 + ... + 43818.

It is an arithmetic number, because the mean of its divisors is an integer number (10728648).

Almost surely, 2^106008015 is an apocalyptic number.

106008015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106008015 is a deficient number, since it is larger than the sum of its proper divisors (65650353).

106008015 is an equidigital number, since it uses as much as digits as its factorization.

106008015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85238.

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 106008015 is about 10296.0193764386. The cubic root of 106008015 is about 473.2742771104.

Adding to 106008015 its reverse (510800601), we get a palindrome (616808616).

The spelling of 106008015 in words is "one hundred six million, eight thousand, fifteen".