105417349330 has 16 divisors (see below), whose sum is σ = 190579840920. Its totient is φ = 41982803712.

The previous prime is 105417349321. The next prime is 105417349351. The reversal of 105417349330 is 33943714501.

It can be written as a sum of positive squares in 4 ways, for example, as 82579792689 + 22837556641 = 287367^2 + 151121^2 .

It is a super-2 number, since 2×105417349330² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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, 23014599 + ... + 23019178.

Almost surely, 2^105417349330 is an apocalyptic number.

105417349330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105417349330 is a deficient number, since it is larger than the sum of its proper divisors (85162491590).

105417349330 is a wasteful number, since it uses less digits than its factorization.

105417349330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46034013.

The product of its (nonzero) digits is 136080, while the sum is 40.

The spelling of 105417349330 in words is "one hundred five billion, four hundred seventeen million, three hundred forty-nine thousand, three hundred thirty".