33215312106 has 192 divisors, whose sum is σ = 77643165600. Its totient is φ = 10247897088.

The previous prime is 33215312063. The next prime is 33215312107. The reversal of 33215312106 is 60121351233.

33215312106 is a `hidden beast` number, since 3 + 3 + 21 + 531 + 2 + 106 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 11988279081 + 21227033025 = 109491^2 + 145695^2 .

It is a super-2 number, since 2×33215312106² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 33215312106.

It is not an unprimeable number, because it can be changed into a prime (33215312107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 304727580 + ... + 304727688.

Almost surely, 2^33215312106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33215312106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38821582800).

33215312106 is an abundant number, since it is smaller than the sum of its proper divisors (44427853494).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33215312106 is a wasteful number, since it uses less digits than its factorization.

33215312106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 390 counting only the distinct ones).

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

Adding to 33215312106 its reverse (60121351233), we get a palindrome (93336663339).

The spelling of 33215312106 in words is "thirty-three billion, two hundred fifteen million, three hundred twelve thousand, one hundred six".