105315800331 has 8 divisors (see below), whose sum is σ = 160481219584. Its totient is φ = 60180457320.

The previous prime is 105315800267. The next prime is 105315800357. The reversal of 105315800331 is 133008513501.

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

It is not a de Polignac number, because 105315800331 - 2⁶ = 105315800267 is a prime.

It is a super-2 number, since 2×105315800331² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105315800231) 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, 2507519035 + ... + 2507519076.

It is an arithmetic number, because the mean of its divisors is an integer number (20060152448).

Almost surely, 2^105315800331 is an apocalyptic number.

105315800331 is a deficient number, since it is larger than the sum of its proper divisors (55165419253).

105315800331 is an equidigital number, since it uses as much as digits as its factorization.

105315800331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5015038121.

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 105315800331 in words is "one hundred five billion, three hundred fifteen million, eight hundred thousand, three hundred thirty-one".