17105081340 has 96 divisors (see below), whose sum is σ = 48328068096. Its totient is φ = 4520139520.

The previous prime is 17105081297. The next prime is 17105081363. The reversal of 17105081340 is 4318050171.

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

It is a junction number, because it is equal to n+sod(n) for n = 17105081298 and 17105081307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8668594 + ... + 8670566.

It is an arithmetic number, because the mean of its divisors is an integer number (503417376).

Almost surely, 2^17105081340 is an apocalyptic number.

17105081340 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 17105081340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24164034048).

17105081340 is an abundant number, since it is smaller than the sum of its proper divisors (31222986756).

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

17105081340 is a wasteful number, since it uses less digits than its factorization.

17105081340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3219 (or 3217 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The spelling of 17105081340 in words is "seventeen billion, one hundred five million, eighty-one thousand, three hundred forty".