105995106 has 24 divisors (see below), whose sum is σ = 262464384. Its totient is φ = 30284280.

The previous prime is 105995083. The next prime is 105995143. The reversal of 105995106 is 601599501.

105995106 is a `hidden beast` number, since 10 + 599 + 51 + 0 + 6 = 666.

It is a super-2 number, since 2×105995106² = 22469924991902472, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 420490 + ... + 420741.

It is an arithmetic number, because the mean of its divisors is an integer number (10936016).

Almost surely, 2^105995106 is an apocalyptic number.

105995106 is an abundant number, since it is smaller than the sum of its proper divisors (156469278).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105995106 is a wasteful number, since it uses less digits than its factorization.

105995106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841246 (or 841243 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 36.

The square root of 105995106 is about 10295.3924645931. The cubic root of 105995106 is about 473.2550655265.

The spelling of 105995106 in words is "one hundred five million, nine hundred ninety-five thousand, one hundred six".