105850806101 has 4 divisors (see below), whose sum is σ = 105860287692. Its totient is φ = 105841324512.

The previous prime is 105850806091. The next prime is 105850806161. The reversal of 105850806101 is 101608058501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 101608058501 = 317 ⋅320530153.

It can be written as a sum of positive squares in 2 ways, for example, as 50037216100 + 55813590001 = 223690^2 + 236249^2 .

It is a cyclic number.

It is not a de Polignac number, because 105850806101 - 2⁶ = 105850806037 is a prime.

It is a super-2 number, since 2×105850806101² (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 (105850806161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4724030 + ... + 4746383.

It is an arithmetic number, because the mean of its divisors is an integer number (26465071923).

Almost surely, 2^105850806101 is an apocalyptic number.

It is an amenable number.

105850806101 is a deficient number, since it is larger than the sum of its proper divisors (9481591).

105850806101 is an equidigital number, since it uses as much as digits as its factorization.

105850806101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9481590.

The product of its (nonzero) digits is 9600, while the sum is 35.

The spelling of 105850806101 in words is "one hundred five billion, eight hundred fifty million, eight hundred six thousand, one hundred one".