105105606101 has 8 divisors (see below), whose sum is σ = 105921471744. Its totient is φ = 104289945760.

The previous prime is 105105606059. The next prime is 105105606119. The reversal of 105105606101 is 101606501501.

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 105105606101 - 2³⁴ = 87925736917 is a prime.

It is a super-2 number, since 2×105105606101² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105105606131) 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, 1071356 + ... + 1165338.

It is an arithmetic number, because the mean of its divisors is an integer number (13240183968).

Almost surely, 2^105105606101 is an apocalyptic number.

It is an amenable number.

105105606101 is a deficient number, since it is larger than the sum of its proper divisors (815865643).

105105606101 is an equidigital number, since it uses as much as digits as its factorization.

105105606101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102651.

The product of its (nonzero) digits is 900, while the sum is 26.

The spelling of 105105606101 in words is "one hundred five billion, one hundred five million, six hundred six thousand, one hundred one".