105005255331 has 8 divisors (see below), whose sum is σ = 144523362304. Its totient is φ = 67745325960.

The previous prime is 105005255279. The next prime is 105005255371. The reversal of 105005255331 is 133552500501.

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

It is not a de Polignac number, because 105005255331 - 2⁷ = 105005255203 is a prime.

It is a super-2 number, since 2×105005255331² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105005255371) 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, 564544291 + ... + 564544476.

It is an arithmetic number, because the mean of its divisors is an integer number (18065420288).

Almost surely, 2^105005255331 is an apocalyptic number.

105005255331 is a deficient number, since it is larger than the sum of its proper divisors (39518106973).

105005255331 is a wasteful number, since it uses less digits than its factorization.

105005255331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129088801.

The product of its (nonzero) digits is 11250, while the sum is 30.

Adding to 105005255331 its reverse (133552500501), we get a palindrome (238557755832).

The spelling of 105005255331 in words is "one hundred five billion, five million, two hundred fifty-five thousand, three hundred thirty-one".