105100506101 has 8 divisors (see below), whose sum is σ = 107196662304. Its totient is φ = 103008539920.

The previous prime is 105100506073. The next prime is 105100506187. The reversal of 105100506101 is 101605001501.

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 105100506101 - 2²⁶ = 105033397237 is a prime.

It is a super-2 number, since 2×105100506101² (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 (105100506601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 996815 + ... + 1097196.

It is an arithmetic number, because the mean of its divisors is an integer number (13399582788).

Almost surely, 2^105100506101 is an apocalyptic number.

It is an amenable number.

105100506101 is a deficient number, since it is larger than the sum of its proper divisors (2096156203).

105100506101 is an equidigital number, since it uses as much as digits as its factorization.

105100506101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095011.

The product of its (nonzero) digits is 150, while the sum is 20.

Adding to 105100506101 its reverse (101605001501), we get a palindrome (206705507602).

The spelling of 105100506101 in words is "one hundred five billion, one hundred million, five hundred six thousand, one hundred one".