193105056 has 96 divisors (see below), whose sum is σ = 556899840. Its totient is φ = 58316544.

The previous prime is 193105051. The next prime is 193105067. The reversal of 193105056 is 650501391.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (193105051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39651 + ... + 44253.

It is an arithmetic number, because the mean of its divisors is an integer number (5801040).

Almost surely, 2^193105056 is an apocalyptic number.

193105056 is a gapful number since it is divisible by the number (16) 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 193105056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278449920).

193105056 is an abundant number, since it is smaller than the sum of its proper divisors (363794784).

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

193105056 is a wasteful number, since it uses less digits than its factorization.

193105056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4658 (or 4650 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 30.

The square root of 193105056 is about 13896.2245232293. The cubic root of 193105056 is about 578.0044938448.

The spelling of 193105056 in words is "one hundred ninety-three million, one hundred five thousand, fifty-six".