193105920 has 208 divisors, whose sum is σ = 707702400. Its totient is φ = 44040192.

The previous prime is 193105883. The next prime is 193105933. The reversal of 193105920 is 29501391.

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 (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429856 + ... + 430304.

Almost surely, 2^193105920 is an apocalyptic number.

193105920 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 193105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353851200).

193105920 is an abundant number, since it is smaller than the sum of its proper divisors (514596480).

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

193105920 is an equidigital number, since it uses as much as digits as its factorization.

193105920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 193105920 is about 13896.2556107752. The cubic root of 193105920 is about 578.0053558888.

The spelling of 193105920 in words is "one hundred ninety-three million, one hundred five thousand, nine hundred twenty".