505610105 has 32 divisors (see below), whose sum is σ = 814641408. Its totient is φ = 290937600.

The previous prime is 505610087. The next prime is 505610111. The reversal of 505610105 is 501016505.

It is not a de Polignac number, because 505610105 - 2²⁴ = 488832889 is a prime.

It is a super-2 number, since 2×505610105² = 511283156556222050, which contains 22 as substring.

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 45506 + ... + 55515.

It is an arithmetic number, because the mean of its divisors is an integer number (25457544).

Almost surely, 2^505610105 is an apocalyptic number.

505610105 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

505610105 is a deficient number, since it is larger than the sum of its proper divisors (309031303).

505610105 is a wasteful number, since it uses less digits than its factorization.

505610105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101057.

The product of its (nonzero) digits is 750, while the sum is 23.

The square root of 505610105 is about 22485.7756148192. The cubic root of 505610105 is about 796.6579878219.

The spelling of 505610105 in words is "five hundred five million, six hundred ten thousand, one hundred five".