505560106105 has 8 divisors (see below), whose sum is σ = 612678782664. Its totient is φ = 400443648000.

The previous prime is 505560106057. The next prime is 505560106133. The reversal of 505560106105 is 501601065505.

It can be written as a sum of positive squares in 4 ways, for example, as 73823063616 + 431737042489 = 271704^2 + 657067^2 .

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

It is not a de Polignac number, because 505560106105 - 2²³ = 505551717497 is a prime.

It is a super-3 number, since 3×505560106105³ (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 500554056 + ... + 500555065.

It is an arithmetic number, because the mean of its divisors is an integer number (76584847833).

Almost surely, 2^505560106105 is an apocalyptic number.

It is an amenable number.

505560106105 is a deficient number, since it is larger than the sum of its proper divisors (107118676559).

505560106105 is a wasteful number, since it uses less digits than its factorization.

505560106105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001109227.

The product of its (nonzero) digits is 22500, while the sum is 34.

The spelling of 505560106105 in words is "five hundred five billion, five hundred sixty million, one hundred six thousand, one hundred five".