106213404033 has 40 divisors (see below), whose sum is σ = 176022300960. Its totient is φ = 63280681920.

The previous prime is 106213404007. The next prime is 106213404041. The reversal of 106213404033 is 330404312601.

106213404033 is a `hidden beast` number, since 1 + 0 + 6 + 213 + 40 + 403 + 3 = 666.

It is not a de Polignac number, because 106213404033 - 2⁹ = 106213403521 is a prime.

It is a super-2 number, since 2×106213404033² (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 = 106213403988 and 106213404006.

It is not an unprimeable number, because it can be changed into a prime (106213404233) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 957660 + ... + 1062797.

It is an arithmetic number, because the mean of its divisors is an integer number (4400557524).

Almost surely, 2^106213404033 is an apocalyptic number.

It is an amenable number.

106213404033 is a deficient number, since it is larger than the sum of its proper divisors (69808896927).

106213404033 is a wasteful number, since it uses less digits than its factorization.

106213404033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020539 (or 2020530 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 106213404033 its reverse (330404312601), we get a palindrome (436617716634).

The spelling of 106213404033 in words is "one hundred six billion, two hundred thirteen million, four hundred four thousand, thirty-three".