105335103430856 has 64 divisors (see below), whose sum is σ = 213159321975600. Its totient is φ = 48510373137408.

The previous prime is 105335103430829. The next prime is 105335103430871. The reversal of 105335103430856 is 658034301533501.

It can be written as a sum of positive squares in 8 ways, for example, as 72147526360900 + 33187577069956 = 8493970^2 + 5760866^2 .

It is a super-2 number, since 2×105335103430856² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105335103430856.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100089566 + ... + 101136498.

Almost surely, 2^{105335103430856} is an apocalyptic number.

It is an amenable number.

105335103430856 is an abundant number, since it is smaller than the sum of its proper divisors (107824218544744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105335103430856 is a wasteful number, since it uses less digits than its factorization.

105335103430856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049058 (or 1049054 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 47.

The spelling of 105335103430856 in words is "one hundred five trillion, three hundred thirty-five billion, one hundred three million, four hundred thirty thousand, eight hundred fifty-six".