10171892085 has 16 divisors (see below), whose sum is σ = 16283789376. Its totient is φ = 5422088448.

The previous prime is 10171892057. The next prime is 10171892113. The reversal of 10171892085 is 58029817101.

10171892085 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10171892057) and next prime (10171892113).

It is not a de Polignac number, because 10171892085 - 2⁵ = 10171892053 is a prime.

It is a super-3 number, since 3×10171892085³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 153604 + ... + 209613.

It is an arithmetic number, because the mean of its divisors is an integer number (1017736836).

Almost surely, 2^10171892085 is an apocalyptic number.

10171892085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10171892085 is a deficient number, since it is larger than the sum of its proper divisors (6111897291).

10171892085 is a wasteful number, since it uses less digits than its factorization.

10171892085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365092.

The product of its (nonzero) digits is 40320, while the sum is 42.

The spelling of 10171892085 in words is "ten billion, one hundred seventy-one million, eight hundred ninety-two thousand, eighty-five".