10098173085 has 192 divisors, whose sum is σ = 22849102080. Its totient is φ = 3739115520.

The previous prime is 10098173083. The next prime is 10098173087. The reversal of 10098173085 is 58037189001.

10098173085 is digitally balanced in base 3, 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 (10098173083) and next prime (10098173087).

It is not a de Polignac number, because 10098173085 - 2¹ = 10098173083 is a prime.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10098173083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3046389 + ... + 3049701.

It is an arithmetic number, because the mean of its divisors is an integer number (119005740).

Almost surely, 2^10098173085 is an apocalyptic number.

10098173085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10098173085 is an abundant number, since it is smaller than the sum of its proper divisors (12750928995).

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

10098173085 is a wasteful number, since it uses less digits than its factorization.

10098173085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3388 (or 3381 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 42.

The spelling of 10098173085 in words is "ten billion, ninety-eight million, one hundred seventy-three thousand, eighty-five".