106005356213 has 24 divisors (see below), whose sum is σ = 120195386136. Its totient is φ = 93104000000.

The previous prime is 106005356207. The next prime is 106005356231. The reversal of 106005356213 is 312653500601.

It can be written as a sum of positive squares in 4 ways, for example, as 670706404 + 105334649809 = 25898^2 + 324553^2 .

It is a de Polignac number, because none of the positive numbers 2^k-106005356213 is a prime.

It is a super-2 number, since 2×106005356213² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106005356213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106005356203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224963 + ... + 512463.

It is an arithmetic number, because the mean of its divisors is an integer number (5008141089).

Almost surely, 2^106005356213 is an apocalyptic number.

It is an amenable number.

106005356213 is a deficient number, since it is larger than the sum of its proper divisors (14190029923).

106005356213 is a wasteful number, since it uses less digits than its factorization.

106005356213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287605 (or 287582 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

Adding to 106005356213 its reverse (312653500601), we get a palindrome (418658856814).

The spelling of 106005356213 in words is "one hundred six billion, five million, three hundred fifty-six thousand, two hundred thirteen".