10170093090 has 64 divisors (see below), whose sum is σ = 25885028736. Its totient is φ = 2548442112.

The previous prime is 10170093077. The next prime is 10170093181. The reversal of 10170093090 is 9039007101.

10170093090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 312424 + ... + 343436.

It is an arithmetic number, because the mean of its divisors is an integer number (404453574).

Almost surely, 2^10170093090 is an apocalyptic number.

10170093090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10170093090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12942514368).

10170093090 is an abundant number, since it is smaller than the sum of its proper divisors (15714935646).

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

10170093090 is a wasteful number, since it uses less digits than its factorization.

10170093090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31683.

The product of its (nonzero) digits is 1701, while the sum is 30.

The spelling of 10170093090 in words is "ten billion, one hundred seventy million, ninety-three thousand, ninety".