106121235 has 48 divisors (see below), whose sum is σ = 189987840. Its totient is φ = 50529600.

The previous prime is 106121221. The next prime is 106121261. The reversal of 106121235 is 532121601.

It is not a de Polignac number, because 106121235 - 2⁴ = 106121219 is a prime.

It is a super-2 number, since 2×106121235² = 22523433035850450, which contains 22 as substring.

It is an unprimeable number.

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, 106590 + ... + 107580.

It is an arithmetic number, because the mean of its divisors is an integer number (3958080).

Almost surely, 2^106121235 is an apocalyptic number.

106121235 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106121235 is a deficient number, since it is larger than the sum of its proper divisors (83866605).

106121235 is a wasteful number, since it uses less digits than its factorization.

106121235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 106121235 is about 10301.5161505479. The cubic root of 106121235 is about 473.4427079234.

Adding to 106121235 its reverse (532121601), we get a palindrome (638242836).

The spelling of 106121235 in words is "one hundred six million, one hundred twenty-one thousand, two hundred thirty-five".