105606100101 has 8 divisors (see below), whose sum is σ = 140809646080. Its totient is φ = 70403310432.

The previous prime is 105606100097. The next prime is 105606100189. The reversal of 105606100101 is 101001606501.

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

It is not a de Polignac number, because 105606100101 - 2² = 105606100097 is a prime.

It is a super-3 number, since 3×105606100101³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105606100601) 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, 390780 + ... + 603258.

It is an arithmetic number, because the mean of its divisors is an integer number (17601205760).

Almost surely, 2^105606100101 is an apocalyptic number.

It is an amenable number.

105606100101 is a deficient number, since it is larger than the sum of its proper divisors (35203545979).

105606100101 is a wasteful number, since it uses less digits than its factorization.

105606100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378155.

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 105606100101 its reverse (101001606501), we get a palindrome (206607706602).

The spelling of 105606100101 in words is "one hundred five billion, six hundred six million, one hundred thousand, one hundred one".