17105142000 has 320 divisors, whose sum is σ = 56910357504. Its totient is φ = 4417459200.

The previous prime is 17105141897. The next prime is 17105142017. The reversal of 17105142000 is 24150171.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 43085802 + ... + 43086198.

Almost surely, 2^17105142000 is an apocalyptic number.

17105142000 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 17105142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28455178752).

17105142000 is an abundant number, since it is smaller than the sum of its proper divisors (39805215504).

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

17105142000 is a wasteful number, since it uses less digits than its factorization.

17105142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

Adding to 17105142000 its reverse (24150171), we get a palindrome (17129292171).

The spelling of 17105142000 in words is "seventeen billion, one hundred five million, one hundred forty-two thousand".