105094697085 has 48 divisors (see below), whose sum is σ = 220433930496. Its totient is φ = 45217211904.

The previous prime is 105094697069. The next prime is 105094697087. The reversal of 105094697085 is 580796490501.

105094697085 is a `hidden beast` number, since 1 + 0 + 509 + 4 + 69 + 70 + 8 + 5 = 666.

It is not a de Polignac number, because 105094697085 - 2⁴ = 105094697069 is a prime.

It is a super-2 number, since 2×105094697085² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105094697087) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9807409 + ... + 9818118.

It is an arithmetic number, because the mean of its divisors is an integer number (4592373552).

Almost surely, 2^105094697085 is an apocalyptic number.

105094697085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105094697085 is an abundant number, since it is smaller than the sum of its proper divisors (115339233411).

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

105094697085 is a wasteful number, since it uses less digits than its factorization.

105094697085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19625562 (or 19625559 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 105094697085 in words is "one hundred five billion, ninety-four million, six hundred ninety-seven thousand, eighty-five".