105846811785 has 96 divisors (see below), whose sum is σ = 224914330368. Its totient is φ = 45312284160.

The previous prime is 105846811757. The next prime is 105846811793. The reversal of 105846811785 is 587118648501.

105846811785 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 468 + 1 + 178 + 5 = 666.

It is not a de Polignac number, because 105846811785 - 2⁷ = 105846811657 is a prime.

It is a super-2 number, since 2×105846811785² (a number of 23 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 209574 + ... + 505583.

It is an arithmetic number, because the mean of its divisors is an integer number (2342857608).

Almost surely, 2^105846811785 is an apocalyptic number.

105846811785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105846811785 is an abundant number, since it is smaller than the sum of its proper divisors (119067518583).

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

105846811785 is a wasteful number, since it uses less digits than its factorization.

105846811785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715215 (or 715212 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 54.

The spelling of 105846811785 in words is "one hundred five billion, eight hundred forty-six million, eight hundred eleven thousand, seven hundred eighty-five".