106106121 has 48 divisors (see below), whose sum is σ = 174283200. Its totient is φ = 61637760.

The previous prime is 106106113. The next prime is 106106137. The reversal of 106106121 is 121601601.

It is not a de Polignac number, because 106106121 - 2³ = 106106113 is a prime.

It is a super-2 number, since 2×106106121² = 22517017827333282, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106106094 and 106106103.

It is not an unprimeable number, because it can be changed into a prime (106106101) 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 47 ways as a sum of consecutive naturals, for example, 303855 + ... + 304203.

It is an arithmetic number, because the mean of its divisors is an integer number (3630900).

Almost surely, 2^106106121 is an apocalyptic number.

106106121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106106121 is a deficient number, since it is larger than the sum of its proper divisors (68177079).

106106121 is a wasteful number, since it uses less digits than its factorization.

106106121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 106106121 is about 10300.7825430887. The cubic root of 106106121 is about 473.4202306350.

Adding to 106106121 its reverse (121601601), we get a palindrome (227707722).

The spelling of 106106121 in words is "one hundred six million, one hundred six thousand, one hundred twenty-one".