106005002033 has 16 divisors (see below), whose sum is σ = 121391424000. Its totient is φ = 90679468032.

The previous prime is 106005002021. The next prime is 106005002099. The reversal of 106005002033 is 330200500601.

It is a cyclic number.

It is not a de Polignac number, because 106005002033 - 2⁶ = 106005001969 is a prime.

It is a super-2 number, since 2×106005002033² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106005001996 and 106005002014.

It is not an unprimeable number, because it can be changed into a prime (106005002833) 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, 8655128 + ... + 8667366.

It is an arithmetic number, because the mean of its divisors is an integer number (7586964000).

Almost surely, 2^106005002033 is an apocalyptic number.

It is an amenable number.

106005002033 is a deficient number, since it is larger than the sum of its proper divisors (15386421967).

106005002033 is a wasteful number, since it uses less digits than its factorization.

106005002033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14624.

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 106005002033 its reverse (330200500601), we get a palindrome (436205502634).

The spelling of 106005002033 in words is "one hundred six billion, five million, two thousand, thirty-three".