170103121920 has 576 divisors, whose sum is σ = 608238408960. Its totient is φ = 43944640512.

The previous prime is 170103121841. The next prime is 170103121927. The reversal of 170103121920 is 29121301071.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (170103121927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 749352847 + ... + 749353073.

It is an arithmetic number, because the mean of its divisors is an integer number (1055969460).

Almost surely, 2^170103121920 is an apocalyptic number.

170103121920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 170103121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304119204480).

170103121920 is an abundant number, since it is smaller than the sum of its proper divisors (438135287040).

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

170103121920 is a wasteful number, since it uses less digits than its factorization.

170103121920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

Adding to 170103121920 its reverse (29121301071), we get a palindrome (199224422991).

The spelling of 170103121920 in words is "one hundred seventy billion, one hundred three million, one hundred twenty-one thousand, nine hundred twenty".