105180181311 has 8 divisors (see below), whose sum is σ = 144030518704. Its totient is φ = 68224982400.

The previous prime is 105180181307. The next prime is 105180181333. The reversal of 105180181311 is 113181081501.

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

It is not a de Polignac number, because 105180181311 - 2² = 105180181307 is a prime.

It is a super-2 number, since 2×105180181311² (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 (105180181811) 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, 473784490 + ... + 473784711.

It is an arithmetic number, because the mean of its divisors is an integer number (18003814838).

Almost surely, 2^105180181311 is an apocalyptic number.

105180181311 is a deficient number, since it is larger than the sum of its proper divisors (38850337393).

105180181311 is an equidigital number, since it uses as much as digits as its factorization.

105180181311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947569241.

The product of its (nonzero) digits is 960, while the sum is 30.

The spelling of 105180181311 in words is "one hundred five billion, one hundred eighty million, one hundred eighty-one thousand, three hundred eleven".