106205203553 has 8 divisors (see below), whose sum is σ = 106341417000. Its totient is φ = 106069078528.

The previous prime is 106205203523. The next prime is 106205203561. The reversal of 106205203553 is 355302502601.

It can be written as a sum of positive squares in 4 ways, for example, as 43836634384 + 62368569169 = 209372^2 + 249737^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106205203553 - 2⁸ = 106205203297 is a prime.

It is a super-2 number, since 2×106205203553² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106205203523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2573123 + ... + 2614071.

It is an arithmetic number, because the mean of its divisors is an integer number (13292677125).

Almost surely, 2^106205203553 is an apocalyptic number.

It is an amenable number.

106205203553 is a deficient number, since it is larger than the sum of its proper divisors (136213447).

106205203553 is a wasteful number, since it uses less digits than its factorization.

106205203553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44211.

The product of its (nonzero) digits is 27000, while the sum is 32.

The spelling of 106205203553 in words is "one hundred six billion, two hundred five million, two hundred three thousand, five hundred fifty-three".