105010550505101 has 8 divisors (see below), whose sum is σ = 105747614986104. Its totient is φ = 104275210152960.

The previous prime is 105010550505083. The next prime is 105010550505131. The reversal of 105010550505101 is 101505055010501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12552133324201 + 92458417180900 = 3542899^2 + 9615530^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105010550505101 is a prime.

It is a super-2 number, since 2×105010550505101² (a number of 29 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 (105010550505131) 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, 430909976 + ... + 431153601.

It is an arithmetic number, because the mean of its divisors is an integer number (13218451873263).

Almost surely, 2^{105010550505101} is an apocalyptic number.

It is an amenable number.

105010550505101 is a deficient number, since it is larger than the sum of its proper divisors (737064481003).

105010550505101 is an equidigital number, since it uses as much as digits as its factorization.

105010550505101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862064431.

The product of its (nonzero) digits is 3125, while the sum is 29.

The spelling of 105010550505101 in words is "one hundred five trillion, ten billion, five hundred fifty million, five hundred five thousand, one hundred one".