105606203406 has 64 divisors (see below), whose sum is σ = 235423964160. Its totient is φ = 31306613760.

The previous prime is 105606203383. The next prime is 105606203407. The reversal of 105606203406 is 604302606501.

It is a super-3 number, since 3×105606203406³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105606203407) 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 31 ways as a sum of consecutive naturals, for example, 8111430 + ... + 8124438.

It is an arithmetic number, because the mean of its divisors is an integer number (3678499440).

Almost surely, 2^105606203406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105606203406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117711982080).

105606203406 is an abundant number, since it is smaller than the sum of its proper divisors (129817760754).

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

105606203406 is a wasteful number, since it uses less digits than its factorization.

105606203406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15689.

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 105606203406 its reverse (604302606501), we get a palindrome (709908809907).

The spelling of 105606203406 in words is "one hundred five billion, six hundred six million, two hundred three thousand, four hundred six".