105413605703 has 8 divisors (see below), whose sum is σ = 121392332160. Its totient is φ = 89664789240.

The previous prime is 105413605679. The next prime is 105413605711. The reversal of 105413605703 is 307506314501.

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

It is not a de Polignac number, because 105413605703 - 2⁶ = 105413605639 is a prime.

It is a super-2 number, since 2×105413605703² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105413605753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57476513 + ... + 57478346.

It is an arithmetic number, because the mean of its divisors is an integer number (15174041520).

Almost surely, 2^105413605703 is an apocalyptic number.

105413605703 is a deficient number, since it is larger than the sum of its proper divisors (15978726457).

105413605703 is a wasteful number, since it uses less digits than its factorization.

105413605703 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114954997.

The product of its (nonzero) digits is 37800, while the sum is 35.

The spelling of 105413605703 in words is "one hundred five billion, four hundred thirteen million, six hundred five thousand, seven hundred three".