106212033 has 16 divisors (see below), whose sum is σ = 165633600. Its totient is φ = 67080960.

The previous prime is 106212031. The next prime is 106212047. The reversal of 106212033 is 330212601.

106212033 is a `hidden beast` number, since 10 + 621 + 2 + 0 + 33 = 666.

It is not a de Polignac number, because 106212033 - 2¹ = 106212031 is a prime.

It is a super-2 number, since 2×106212033² = 22561991907986178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106211997 and 106212015.

It is not an unprimeable number, because it can be changed into a prime (106212031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103008 + ... + 104033.

It is an arithmetic number, because the mean of its divisors is an integer number (10352100).

Almost surely, 2^106212033 is an apocalyptic number.

It is an amenable number.

106212033 is a deficient number, since it is larger than the sum of its proper divisors (59421567).

106212033 is a wasteful number, since it uses less digits than its factorization.

106212033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207069 (or 207063 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 106212033 is about 10305.9222294756. The cubic root of 106212033 is about 473.5776962904.

Adding to 106212033 its reverse (330212601), we get a palindrome (436424634).

It can be divided in two parts, 1062120 and 33, that added together give a triangular number (1062153 = T₁₄₅₇).

The spelling of 106212033 in words is "one hundred six million, two hundred twelve thousand, thirty-three".