10084351761 has 24 divisors (see below), whose sum is σ = 15895513920. Its totient is φ = 6109797600.

The previous prime is 10084351751. The next prime is 10084351769. The reversal of 10084351761 is 16715348001.

10084351761 is a `hidden beast` number, since 1 + 0 + 0 + 84 + 3 + 517 + 61 = 666.

10084351761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10084351761 - 2¹³ = 10084343569 is a prime.

It is a super-2 number, since 2×10084351761² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10084351769) 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 23 ways as a sum of consecutive naturals, for example, 338031 + ... + 366651.

It is an arithmetic number, because the mean of its divisors is an integer number (662313080).

Almost surely, 2^10084351761 is an apocalyptic number.

10084351761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10084351761 is a deficient number, since it is larger than the sum of its proper divisors (5811162159).

10084351761 is a wasteful number, since it uses less digits than its factorization.

10084351761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32197 (or 32194 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 10084351761 its reverse (16715348001), we get a palindrome (26799699762).

The spelling of 10084351761 in words is "ten billion, eighty-four million, three hundred fifty-one thousand, seven hundred sixty-one".