10146083085 has 40 divisors (see below), whose sum is σ = 18239573880. Its totient is φ = 5395838976.

The previous prime is 10146083039. The next prime is 10146083099. The reversal of 10146083085 is 58038064101.

10146083085 is a `hidden beast` number, since 1 + 0 + 14 + 608 + 30 + 8 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5391684 + 10140691401 = 2322^2 + 100701^2 .

It is not a de Polignac number, because 10146083085 - 2¹¹ = 10146081037 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 107481 + ... + 178449.

It is an arithmetic number, because the mean of its divisors is an integer number (455989347).

Almost surely, 2^10146083085 is an apocalyptic number.

10146083085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10146083085 is a deficient number, since it is larger than the sum of its proper divisors (8093490795).

10146083085 is an equidigital number, since it uses as much as digits as its factorization.

10146083085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71339 (or 71330 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10146083085 in words is "ten billion, one hundred forty-six million, eighty-three thousand, eighty-five".