101906 has 16 divisors (see below), whose sum is σ = 181440. Its totient is φ = 42000.

The previous prime is 101891. The next prime is 101917. The reversal of 101906 is 609101.

It is an unprimeable number.

101906 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 281 + ... + 531.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2¹⁰¹⁹⁰⁶ is an apocalyptic number.

101906 is a deficient number, since it is larger than the sum of its proper divisors (79534).

101906 is a wasteful number, since it uses less digits than its factorization.

101906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289.

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 101906 is about 319.2271918243. The cubic root of 101906 is about 46.7089299670.

The spelling of 101906 in words is "one hundred one thousand, nine hundred six".