106085115 has 24 divisors (see below), whose sum is σ = 184120560. Its totient is φ = 56505024.

The previous prime is 106085099. The next prime is 106085137. The reversal of 106085115 is 511580601.

106085115 is a `hidden beast` number, since 1 + 0 + 608 + 51 + 1 + 5 = 666.

It is not a de Polignac number, because 106085115 - 2⁴ = 106085099 is a prime.

It is a super-2 number, since 2×106085115² = 22508103249126450, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66396 + ... + 67974.

It is an arithmetic number, because the mean of its divisors is an integer number (7671690).

Almost surely, 2^106085115 is an apocalyptic number.

106085115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106085115 is a deficient number, since it is larger than the sum of its proper divisors (78035445).

106085115 is a wasteful number, since it uses less digits than its factorization.

106085115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083 (or 3080 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 106085115 is about 10299.7628613478. The cubic root of 106085115 is about 473.3889873175.

The spelling of 106085115 in words is "one hundred six million, eighty-five thousand, one hundred fifteen".