10182686805 has 24 divisors (see below), whose sum is σ = 17811925560. Its totient is φ = 5380940160.

The previous prime is 10182686803. The next prime is 10182686819. The reversal of 10182686805 is 50868628101.

It can be written as a sum of positive squares in 4 ways, for example, as 1632725649 + 8549961156 = 40407^2 + 92466^2 .

It is not a de Polignac number, because 10182686805 - 2¹ = 10182686803 is a prime.

It is a super-2 number, since 2×10182686805² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10182686803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1033086 + ... + 1042895.

It is an arithmetic number, because the mean of its divisors is an integer number (742163565).

Almost surely, 2^10182686805 is an apocalyptic number.

10182686805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10182686805 is a deficient number, since it is larger than the sum of its proper divisors (7629238755).

10182686805 is a wasteful number, since it uses less digits than its factorization.

10182686805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076101 (or 2076098 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 10182686805 in words is "ten billion, one hundred eighty-two million, six hundred eighty-six thousand, eight hundred five".