105346510643 has 8 divisors (see below), whose sum is σ = 115611632640. Its totient is φ = 95196083080.

The previous prime is 105346510627. The next prime is 105346510663. The reversal of 105346510643 is 346015643501.

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 105346510643 - 2⁴ = 105346510627 is a prime.

It is a super-2 number, since 2×105346510643² (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 = 105346510597 and 105346510606.

It is not an unprimeable number, because it can be changed into a prime (105346510603) 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, 28671683 + ... + 28675356.

It is an arithmetic number, because the mean of its divisors is an integer number (14451454080).

Almost surely, 2^105346510643 is an apocalyptic number.

105346510643 is a deficient number, since it is larger than the sum of its proper divisors (10265121997).

105346510643 is a wasteful number, since it uses less digits than its factorization.

105346510643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57347217.

The product of its (nonzero) digits is 129600, while the sum is 38.

The spelling of 105346510643 in words is "one hundred five billion, three hundred forty-six million, five hundred ten thousand, six hundred forty-three".