105010314433 has 8 divisors (see below), whose sum is σ = 105573113856. Its totient is φ = 104448336000.

The previous prime is 105010314419. The next prime is 105010314463. The reversal of 105010314433 is 334413010501.

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 105010314433 - 2¹⁷ = 105010183361 is a prime.

It is a super-2 number, since 2×105010314433² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105010314398 and 105010314407.

It is not an unprimeable number, because it can be changed into a prime (105010314463) 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, 52113 + ... + 461233.

It is an arithmetic number, because the mean of its divisors is an integer number (13196639232).

Almost surely, 2^105010314433 is an apocalyptic number.

It is an amenable number.

105010314433 is a deficient number, since it is larger than the sum of its proper divisors (562799423).

105010314433 is a wasteful number, since it uses less digits than its factorization.

105010314433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410495.

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 105010314433 its reverse (334413010501), we get a palindrome (439423324934).

The spelling of 105010314433 in words is "one hundred five billion, ten million, three hundred fourteen thousand, four hundred thirty-three".