105316235505 has 64 divisors (see below), whose sum is σ = 203627773440. Its totient is φ = 51334560000.

The previous prime is 105316235471. The next prime is 105316235513. The reversal of 105316235505 is 505532613501.

105316235505 is a `hidden beast` number, since 10 + 5 + 31 + 62 + 3 + 550 + 5 = 666.

It is not a de Polignac number, because 105316235505 - 2⁷ = 105316235377 is a prime.

It is a super-2 number, since 2×105316235505² (a number of 23 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 105316235505.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 119821 + ... + 474330.

It is an arithmetic number, because the mean of its divisors is an integer number (3181683960).

Almost surely, 2^105316235505 is an apocalyptic number.

105316235505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105316235505 is a deficient number, since it is larger than the sum of its proper divisors (98311537935).

105316235505 is a wasteful number, since it uses less digits than its factorization.

105316235505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594279 (or 594273 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 105316235505 in words is "one hundred five billion, three hundred sixteen million, two hundred thirty-five thousand, five hundred five".