105606000101 has 16 divisors (see below), whose sum is σ = 129331810944. Its totient is φ = 84168305664.

The previous prime is 105606000091. The next prime is 105606000133. The reversal of 105606000101 is 101000606501.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105606000101 is a prime.

It is a super-3 number, since 3×105606000101³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105606000151) 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, 5336180 + ... + 5355933.

It is an arithmetic number, because the mean of its divisors is an integer number (8083238184).

Almost surely, 2^105606000101 is an apocalyptic number.

It is an amenable number.

105606000101 is a deficient number, since it is larger than the sum of its proper divisors (23725810843).

105606000101 is a wasteful number, since it uses less digits than its factorization.

105606000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10692220.

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 105606000101 its reverse (101000606501), we get a palindrome (206606606602).

The spelling of 105606000101 in words is "one hundred five billion, six hundred six million, one hundred one", and thus it is an aban number.