106021215333 has 160 divisors (see below), whose sum is σ = 185402511360. Its totient is φ = 59767424640.

The previous prime is 106021215331. The next prime is 106021215347. The reversal of 106021215333 is 333512120601.

106021215333 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 2 + 121 + 533 + 3 = 666.

It is not a de Polignac number, because 106021215333 - 2¹ = 106021215331 is a prime.

It is a super-2 number, since 2×106021215333² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 106021215297 and 106021215306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106021215331) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 81366360 + ... + 81367662.

It is an arithmetic number, because the mean of its divisors is an integer number (1158765696).

Almost surely, 2^106021215333 is an apocalyptic number.

It is an amenable number.

106021215333 is a deficient number, since it is larger than the sum of its proper divisors (79381296027).

106021215333 is a wasteful number, since it uses less digits than its factorization.

106021215333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 106021215333 its reverse (333512120601), we get a palindrome (439533335934).

The spelling of 106021215333 in words is "one hundred six billion, twenty-one million, two hundred fifteen thousand, three hundred thirty-three".